diff --git a/Applications/PixelPaint/EllipseTool.cpp b/Applications/PixelPaint/EllipseTool.cpp
index 0997567cf5c..bdad687e656 100644
--- a/Applications/PixelPaint/EllipseTool.cpp
+++ b/Applications/PixelPaint/EllipseTool.cpp
@@ -94,8 +94,8 @@ void EllipseTool::on_second_paint(const Layer& layer, GUI::PaintEvent& event)
 
     GUI::Painter painter(*m_editor);
     painter.add_clip_rect(event.rect());
-    auto preview_start = m_editor->layer_position_to_editor_position(layer, m_ellipse_start_position).to_int_point();
-    auto preview_end = m_editor->layer_position_to_editor_position(layer, m_ellipse_end_position).to_int_point();
+    auto preview_start = m_editor->layer_position_to_editor_position(layer, m_ellipse_start_position).to_type<int>();
+    auto preview_end = m_editor->layer_position_to_editor_position(layer, m_ellipse_end_position).to_type<int>();
     draw_using(painter, Gfx::IntRect::from_two_points(preview_start, preview_end));
 }
 
diff --git a/Applications/PixelPaint/ImageEditor.cpp b/Applications/PixelPaint/ImageEditor.cpp
index 47101746d58..e0679f5199d 100644
--- a/Applications/PixelPaint/ImageEditor.cpp
+++ b/Applications/PixelPaint/ImageEditor.cpp
@@ -29,7 +29,7 @@
 #include "Layer.h"
 #include "Tool.h"
 #include <LibGUI/Painter.h>
-#include <LibGfx/FloatRect.h>
+#include <LibGfx/Rect.h>
 #include <LibGfx/Palette.h>
 
 namespace PixelPaint {
diff --git a/Applications/PixelPaint/ImageEditor.h b/Applications/PixelPaint/ImageEditor.h
index 697b3355388..4c9b7f8d75a 100644
--- a/Applications/PixelPaint/ImageEditor.h
+++ b/Applications/PixelPaint/ImageEditor.h
@@ -28,7 +28,7 @@
 
 #include "Image.h"
 #include <LibGUI/Frame.h>
-#include <LibGfx/FloatPoint.h>
+#include <LibGfx/Point.h>
 
 namespace PixelPaint {
 
diff --git a/Applications/PixelPaint/LineTool.cpp b/Applications/PixelPaint/LineTool.cpp
index 87b9fdc44f2..dd1133aa772 100644
--- a/Applications/PixelPaint/LineTool.cpp
+++ b/Applications/PixelPaint/LineTool.cpp
@@ -102,8 +102,8 @@ void LineTool::on_second_paint(const Layer& layer, GUI::PaintEvent& event)
 
     GUI::Painter painter(*m_editor);
     painter.add_clip_rect(event.rect());
-    auto preview_start = m_editor->layer_position_to_editor_position(layer, m_line_start_position).to_int_point();
-    auto preview_end = m_editor->layer_position_to_editor_position(layer, m_line_end_position).to_int_point();
+    auto preview_start = m_editor->layer_position_to_editor_position(layer, m_line_start_position).to_type<int>();
+    auto preview_end = m_editor->layer_position_to_editor_position(layer, m_line_end_position).to_type<int>();
     painter.draw_line(preview_start, preview_end, m_editor->color_for(m_drawing_button), m_thickness);
 }
 
diff --git a/Applications/PixelPaint/RectangleTool.cpp b/Applications/PixelPaint/RectangleTool.cpp
index a9d37b1ebfe..84d5e3937ec 100644
--- a/Applications/PixelPaint/RectangleTool.cpp
+++ b/Applications/PixelPaint/RectangleTool.cpp
@@ -101,7 +101,9 @@ void RectangleTool::on_second_paint(const Layer& layer, GUI::PaintEvent& event)
 
     GUI::Painter painter(*m_editor);
     painter.add_clip_rect(event.rect());
-    auto rect = Gfx::IntRect::from_two_points(m_editor->layer_position_to_editor_position(layer, m_rectangle_start_position).to_int_point(), m_editor->layer_position_to_editor_position(layer, m_rectangle_end_position).to_int_point());
+    auto rect = Gfx::IntRect::from_two_points(
+        m_editor->layer_position_to_editor_position(layer, m_rectangle_start_position).to_type<int>(),
+        m_editor->layer_position_to_editor_position(layer, m_rectangle_end_position).to_type<int>());
     draw_using(painter, rect);
 }
 
diff --git a/Applications/QuickShow/QSWidget.h b/Applications/QuickShow/QSWidget.h
index 5128ef2a8be..047241e25ea 100644
--- a/Applications/QuickShow/QSWidget.h
+++ b/Applications/QuickShow/QSWidget.h
@@ -28,7 +28,7 @@
 
 #include <LibGUI/Frame.h>
 #include <LibGfx/Bitmap.h>
-#include <LibGfx/FloatPoint.h>
+#include <LibGfx/Point.h>
 
 class QSLabel;
 
diff --git a/Libraries/LibGfx/AffineTransform.cpp b/Libraries/LibGfx/AffineTransform.cpp
index 77738c25edf..29236b83f0c 100644
--- a/Libraries/LibGfx/AffineTransform.cpp
+++ b/Libraries/LibGfx/AffineTransform.cpp
@@ -27,7 +27,6 @@
 #include <AK/LogStream.h>
 #include <AK/Optional.h>
 #include <LibGfx/AffineTransform.h>
-#include <LibGfx/FloatRect.h>
 #include <LibGfx/Rect.h>
 
 namespace Gfx {
@@ -97,37 +96,36 @@ void AffineTransform::map(float unmapped_x, float unmapped_y, float& mapped_x, f
     mapped_y = (m_values[1] * unmapped_x + m_values[3] * unmapped_y + m_values[5]);
 }
 
+template<>
 IntPoint AffineTransform::map(const IntPoint& point) const
 {
     float mapped_x;
     float mapped_y;
     map(point.x(), point.y(), mapped_x, mapped_y);
-    return IntPoint(roundf(mapped_x), roundf(mapped_y));
+    return { roundf(mapped_x), roundf(mapped_y) };
 }
 
+template<>
 FloatPoint AffineTransform::map(const FloatPoint& point) const
 {
     float mapped_x;
     float mapped_y;
     map(point.x(), point.y(), mapped_x, mapped_y);
-    return FloatPoint(mapped_x, mapped_y);
+    return { mapped_x, mapped_y };
 }
 
+template<>
 IntSize AffineTransform::map(const IntSize& size) const
 {
-    return IntSize(roundf(size.width() * x_scale()), roundf(y_scale()));
+    return { roundf(size.width() * x_scale()), roundf(size.height() * y_scale()) };
 }
 
+template<>
 FloatSize AffineTransform::map(const FloatSize& size) const
 {
     return { size.width() * x_scale(), size.height() * y_scale() };
 }
 
-IntRect AffineTransform::map(const IntRect& rect) const
-{
-    return enclosing_int_rect(map(FloatRect(rect)));
-}
-
 template<typename T>
 static T smallest_of(T p1, T p2, T p3, T p4)
 {
@@ -140,6 +138,7 @@ static T largest_of(T p1, T p2, T p3, T p4)
     return max(max(p1, p2), max(p3, p4));
 }
 
+template<>
 FloatRect AffineTransform::map(const FloatRect& rect) const
 {
     FloatPoint p1 = map(rect.top_left());
@@ -153,6 +152,12 @@ FloatRect AffineTransform::map(const FloatRect& rect) const
     return { left, top, right - left, bottom - top };
 }
 
+template<>
+IntRect AffineTransform::map(const IntRect& rect) const
+{
+    return enclosing_int_rect(map(FloatRect(rect)));
+}
+
 const LogStream& operator<<(const LogStream& stream, const AffineTransform& value)
 {
     if (value.is_identity())
diff --git a/Libraries/LibGfx/AffineTransform.h b/Libraries/LibGfx/AffineTransform.h
index 0a3613171d2..41334eb1388 100644
--- a/Libraries/LibGfx/AffineTransform.h
+++ b/Libraries/LibGfx/AffineTransform.h
@@ -48,14 +48,14 @@ public:
 
     void map(float unmapped_x, float unmapped_y, float& mapped_x, float& mapped_y) const;
 
-    IntPoint map(const IntPoint&) const;
-    FloatPoint map(const FloatPoint&) const;
+    template<typename T>
+    Point<T> map(const Point<T>&) const;
 
-    IntSize map(const IntSize&) const;
-    FloatSize map(const FloatSize&) const;
+    template<typename T>
+    Size<T> map(const Size<T>&) const;
 
-    IntRect map(const IntRect&) const;
-    FloatRect map(const FloatRect&) const;
+    template<typename T>
+    Rect<T> map(const Rect<T>&) const;
 
     float a() const { return m_values[0]; }
     float b() const { return m_values[1]; }
diff --git a/Libraries/LibGfx/CMakeLists.txt b/Libraries/LibGfx/CMakeLists.txt
index 1a620fac16c..44faca4696e 100644
--- a/Libraries/LibGfx/CMakeLists.txt
+++ b/Libraries/LibGfx/CMakeLists.txt
@@ -6,7 +6,6 @@ set(SOURCES
     Color.cpp
     DisjointRectSet.cpp
     Emoji.cpp
-    FloatRect.cpp
     Font.cpp
     GIFLoader.cpp
     ICOLoader.cpp
diff --git a/Libraries/LibGfx/FloatRect.cpp b/Libraries/LibGfx/FloatRect.cpp
deleted file mode 100644
index 0a50961555d..00000000000
--- a/Libraries/LibGfx/FloatRect.cpp
+++ /dev/null
@@ -1,135 +0,0 @@
-/*
- * Copyright (c) 2020, Andreas Kling <kling@serenityos.org>
- * All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are met:
- *
- * 1. Redistributions of source code must retain the above copyright notice, this
- *    list of conditions and the following disclaimer.
- *
- * 2. Redistributions in binary form must reproduce the above copyright notice,
- *    this list of conditions and the following disclaimer in the documentation
- *    and/or other materials provided with the distribution.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
- * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
- * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
- * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
- * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
- * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
- * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
- * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-#include <AK/StdLibExtras.h>
-#include <AK/String.h>
-#include <AK/Vector.h>
-#include <LibGfx/FloatRect.h>
-#include <LibIPC/Decoder.h>
-
-namespace Gfx {
-
-void FloatRect::intersect(const FloatRect& other)
-{
-    int l = max(left(), other.left());
-    int r = min(right(), other.right());
-    int t = max(top(), other.top());
-    int b = min(bottom(), other.bottom());
-
-    if (l > r || t > b) {
-        m_location = {};
-        m_size = {};
-        return;
-    }
-
-    m_location.set_x(l);
-    m_location.set_y(t);
-    m_size.set_width((r - l) + 1);
-    m_size.set_height((b - t) + 1);
-}
-
-FloatRect FloatRect::united(const FloatRect& other) const
-{
-    if (is_null())
-        return other;
-    if (other.is_null())
-        return *this;
-    FloatRect rect;
-    rect.set_left(min(left(), other.left()));
-    rect.set_top(min(top(), other.top()));
-    rect.set_right(max(right(), other.right()));
-    rect.set_bottom(max(bottom(), other.bottom()));
-    return rect;
-}
-
-Vector<FloatRect, 4> FloatRect::shatter(const FloatRect& hammer) const
-{
-    Vector<FloatRect, 4> pieces;
-    if (!intersects(hammer)) {
-        pieces.unchecked_append(*this);
-        return pieces;
-    }
-    FloatRect top_shard {
-        x(),
-        y(),
-        width(),
-        hammer.y() - y()
-    };
-    FloatRect bottom_shard {
-        x(),
-        hammer.y() + hammer.height(),
-        width(),
-        (y() + height()) - (hammer.y() + hammer.height())
-    };
-    FloatRect left_shard {
-        x(),
-        max(hammer.y(), y()),
-        hammer.x() - x(),
-        min((hammer.y() + hammer.height()), (y() + height())) - max(hammer.y(), y())
-    };
-    FloatRect right_shard {
-        hammer.x() + hammer.width(),
-        max(hammer.y(), y()),
-        right() - hammer.right(),
-        min((hammer.y() + hammer.height()), (y() + height())) - max(hammer.y(), y())
-    };
-    if (!top_shard.is_empty())
-        pieces.unchecked_append(top_shard);
-    if (!bottom_shard.is_empty())
-        pieces.unchecked_append(bottom_shard);
-    if (!left_shard.is_empty())
-        pieces.unchecked_append(left_shard);
-    if (!right_shard.is_empty())
-        pieces.unchecked_append(right_shard);
-
-    return pieces;
-}
-
-void FloatRect::align_within(const FloatRect& other, TextAlignment alignment)
-{
-    switch (alignment) {
-    case TextAlignment::Center:
-        center_within(other);
-        return;
-    case TextAlignment::TopLeft:
-        set_location(other.location());
-        return;
-    case TextAlignment::TopRight:
-        set_x(other.x() + other.width() - width());
-        set_y(other.y());
-        return;
-    case TextAlignment::CenterLeft:
-        set_x(other.x());
-        center_vertically_within(other);
-        return;
-    case TextAlignment::CenterRight:
-        set_x(other.x() + other.width() - width());
-        center_vertically_within(other);
-        return;
-    }
-}
-
-}
diff --git a/Libraries/LibGfx/FloatRect.h b/Libraries/LibGfx/FloatRect.h
deleted file mode 100644
index 3908dd83182..00000000000
--- a/Libraries/LibGfx/FloatRect.h
+++ /dev/null
@@ -1,335 +0,0 @@
-/*
- * Copyright (c) 2018-2020, Andreas Kling <kling@serenityos.org>
- * All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are met:
- *
- * 1. Redistributions of source code must retain the above copyright notice, this
- *    list of conditions and the following disclaimer.
- *
- * 2. Redistributions in binary form must reproduce the above copyright notice,
- *    this list of conditions and the following disclaimer in the documentation
- *    and/or other materials provided with the distribution.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
- * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
- * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
- * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
- * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
- * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
- * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
- * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-#pragma once
-
-#include <AK/LogStream.h>
-#include <AK/String.h>
-#include <LibGfx/FloatPoint.h>
-#include <LibGfx/FloatSize.h>
-#include <LibGfx/Orientation.h>
-#include <LibGfx/Rect.h>
-#include <LibGfx/TextAlignment.h>
-#include <math.h>
-
-namespace Gfx {
-
-class FloatRect {
-public:
-    FloatRect() {}
-    FloatRect(float x, float y, float width, float height)
-        : m_location(x, y)
-        , m_size(width, height)
-    {
-    }
-    FloatRect(const FloatPoint& location, const FloatSize& size)
-        : m_location(location)
-        , m_size(size)
-    {
-    }
-    FloatRect(const FloatRect& other)
-        : m_location(other.m_location)
-        , m_size(other.m_size)
-    {
-    }
-
-    explicit FloatRect(const IntRect& other)
-        : FloatRect((FloatPoint)other.location(), (FloatSize)other.size())
-    {
-    }
-
-    bool is_null() const
-    {
-        return width() == 0 && height() == 0;
-    }
-
-    bool is_empty() const
-    {
-        return width() <= 0 || height() <= 0;
-    }
-
-    void move_by(float dx, float dy)
-    {
-        m_location.move_by(dx, dy);
-    }
-
-    void move_by(const FloatPoint& delta)
-    {
-        m_location.move_by(delta);
-    }
-
-    FloatPoint center() const
-    {
-        return { x() + width() / 2, y() + height() / 2 };
-    }
-
-    void set_location(const FloatPoint& location)
-    {
-        m_location = location;
-    }
-
-    void set_size(const FloatSize& size)
-    {
-        m_size = size;
-    }
-
-    void set_size(float width, float height)
-    {
-        m_size.set_width(width);
-        m_size.set_height(height);
-    }
-
-    void inflate(float w, float h)
-    {
-        set_x(x() - w / 2);
-        set_width(width() + w);
-        set_y(y() - h / 2);
-        set_height(height() + h);
-    }
-
-    void shrink(float w, float h)
-    {
-        set_x(x() + w / 2);
-        set_width(width() - w);
-        set_y(y() + h / 2);
-        set_height(height() - h);
-    }
-
-    FloatRect shrunken(float w, float h) const
-    {
-        FloatRect rect = *this;
-        rect.shrink(w, h);
-        return rect;
-    }
-
-    FloatRect inflated(float w, float h) const
-    {
-        FloatRect rect = *this;
-        rect.inflate(w, h);
-        return rect;
-    }
-
-    FloatRect translated(float dx, float dy) const
-    {
-        FloatRect rect = *this;
-        rect.move_by(dx, dy);
-        return rect;
-    }
-
-    FloatRect translated(const FloatPoint& delta) const
-    {
-        FloatRect rect = *this;
-        rect.move_by(delta);
-        return rect;
-    }
-
-    bool contains_vertically(float y) const
-    {
-        return y >= top() && y <= bottom();
-    }
-
-    bool contains_horizontally(float x) const
-    {
-        return x >= left() && x <= right();
-    }
-
-    bool contains(float x, float y) const
-    {
-        return x >= m_location.x() && x <= right() && y >= m_location.y() && y <= bottom();
-    }
-
-    bool contains(const FloatPoint& point) const
-    {
-        return contains(point.x(), point.y());
-    }
-
-    bool contains(const FloatRect& other) const
-    {
-        return left() <= other.left()
-            && right() >= other.right()
-            && top() <= other.top()
-            && bottom() >= other.bottom();
-    }
-
-    float primary_offset_for_orientation(Orientation orientation) const { return m_location.primary_offset_for_orientation(orientation); }
-    void set_primary_offset_for_orientation(Orientation orientation, float value) { m_location.set_primary_offset_for_orientation(orientation, value); }
-    float secondary_offset_for_orientation(Orientation orientation) const { return m_location.secondary_offset_for_orientation(orientation); }
-    void set_secondary_offset_for_orientation(Orientation orientation, float value) { m_location.set_secondary_offset_for_orientation(orientation, value); }
-
-    float primary_size_for_orientation(Orientation orientation) const { return m_size.primary_size_for_orientation(orientation); }
-    float secondary_size_for_orientation(Orientation orientation) const { return m_size.secondary_size_for_orientation(orientation); }
-    void set_primary_size_for_orientation(Orientation orientation, float value) { m_size.set_primary_size_for_orientation(orientation, value); }
-    void set_secondary_size_for_orientation(Orientation orientation, float value) { m_size.set_secondary_size_for_orientation(orientation, value); }
-
-    float first_edge_for_orientation(Orientation orientation) const
-    {
-        if (orientation == Orientation::Vertical)
-            return top();
-        return left();
-    }
-
-    float last_edge_for_orientation(Orientation orientation) const
-    {
-        if (orientation == Orientation::Vertical)
-            return bottom();
-        return right();
-    }
-
-    float left() const { return x(); }
-    float right() const { return x() + width() - 1; }
-    float top() const { return y(); }
-    float bottom() const { return y() + height() - 1; }
-
-    void set_left(float left)
-    {
-        set_x(left);
-    }
-
-    void set_top(float top)
-    {
-        set_y(top);
-    }
-
-    void set_right(float right)
-    {
-        set_width(right - x() + 1);
-    }
-
-    void set_bottom(float bottom)
-    {
-        set_height(bottom - y() + 1);
-    }
-
-    void set_right_without_resize(float new_right)
-    {
-        float delta = new_right - right();
-        move_by(delta, 0);
-    }
-
-    void set_bottom_without_resize(float new_bottom)
-    {
-        float delta = new_bottom - bottom();
-        move_by(0, delta);
-    }
-
-    bool intersects(const FloatRect& other) const
-    {
-        return left() <= other.right()
-            && other.left() <= right()
-            && top() <= other.bottom()
-            && other.top() <= bottom();
-    }
-
-    float x() const { return location().x(); }
-    float y() const { return location().y(); }
-    float width() const { return m_size.width(); }
-    float height() const { return m_size.height(); }
-
-    void set_x(float x) { m_location.set_x(x); }
-    void set_y(float y) { m_location.set_y(y); }
-    void set_width(float width) { m_size.set_width(width); }
-    void set_height(float height) { m_size.set_height(height); }
-
-    FloatPoint location() const { return m_location; }
-    FloatSize size() const { return m_size; }
-
-    Vector<FloatRect, 4> shatter(const FloatRect& hammer) const;
-
-    bool operator==(const FloatRect& other) const
-    {
-        return m_location == other.m_location
-            && m_size == other.m_size;
-    }
-
-    void intersect(const FloatRect&);
-
-    static FloatRect intersection(const FloatRect& a, const FloatRect& b)
-    {
-        FloatRect r(a);
-        r.intersect(b);
-        return r;
-    }
-
-    FloatRect intersected(const FloatRect& other) const
-    {
-        return intersection(*this, other);
-    }
-
-    FloatRect united(const FloatRect&) const;
-
-    FloatPoint top_left() const { return { left(), top() }; }
-    FloatPoint top_right() const { return { right(), top() }; }
-    FloatPoint bottom_left() const { return { left(), bottom() }; }
-    FloatPoint bottom_right() const { return { right(), bottom() }; }
-
-    void align_within(const FloatRect&, TextAlignment);
-
-    void center_within(const FloatRect& other)
-    {
-        center_horizontally_within(other);
-        center_vertically_within(other);
-    }
-
-    void center_horizontally_within(const FloatRect& other)
-    {
-        set_x(other.center().x() - width() / 2);
-    }
-
-    void center_vertically_within(const FloatRect& other)
-    {
-        set_y(other.center().y() - height() / 2);
-    }
-
-    String to_string() const { return String::format("[%g,%g %gx%g]", x(), y(), width(), height()); }
-
-private:
-    FloatPoint m_location;
-    FloatSize m_size;
-};
-
-inline void FloatPoint::constrain(const FloatRect& rect)
-{
-    if (x() < rect.left())
-        set_x(rect.left());
-    else if (x() > rect.right())
-        set_x(rect.right());
-    if (y() < rect.top())
-        set_y(rect.top());
-    else if (y() > rect.bottom())
-        set_y(rect.bottom());
-}
-
-inline const LogStream& operator<<(const LogStream& stream, const FloatRect& value)
-{
-    return stream << value.to_string();
-}
-
-inline IntRect enclosing_int_rect(const FloatRect& float_rect)
-{
-    return { (int)float_rect.x(), (int)float_rect.y(), (int)ceilf(float_rect.width()), (int)ceilf(float_rect.height()) };
-}
-
-}
diff --git a/Libraries/LibGfx/FloatSize.h b/Libraries/LibGfx/FloatSize.h
deleted file mode 100644
index 1bbe2453a3e..00000000000
--- a/Libraries/LibGfx/FloatSize.h
+++ /dev/null
@@ -1,125 +0,0 @@
-/*
- * Copyright (c) 2018-2020, Andreas Kling <kling@serenityos.org>
- * All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are met:
- *
- * 1. Redistributions of source code must retain the above copyright notice, this
- *    list of conditions and the following disclaimer.
- *
- * 2. Redistributions in binary form must reproduce the above copyright notice,
- *    this list of conditions and the following disclaimer in the documentation
- *    and/or other materials provided with the distribution.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
- * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
- * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
- * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
- * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
- * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
- * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
- * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-#pragma once
-
-#include <AK/LogStream.h>
-#include <AK/String.h>
-#include <LibGfx/Orientation.h>
-#include <LibGfx/Size.h>
-
-namespace Gfx {
-
-class FloatSize {
-public:
-    FloatSize() { }
-    FloatSize(float w, float h)
-        : m_width(w)
-        , m_height(h)
-    {
-    }
-    explicit FloatSize(const IntSize& other)
-        : m_width(other.width())
-        , m_height(other.height())
-    {
-    }
-
-    bool is_null() const { return !m_width && !m_height; }
-    bool is_empty() const { return m_width <= 0 || m_height <= 0; }
-
-    float width() const { return m_width; }
-    float height() const { return m_height; }
-
-    float area() const { return width() * height(); }
-
-    void set_width(float w) { m_width = w; }
-    void set_height(float h) { m_height = h; }
-
-    bool operator==(const FloatSize& other) const
-    {
-        return m_width == other.m_width && m_height == other.m_height;
-    }
-
-    bool operator!=(const FloatSize& other) const
-    {
-        return !(*this == other);
-    }
-
-    FloatSize& operator-=(const FloatSize& other)
-    {
-        m_width -= other.m_width;
-        m_height -= other.m_height;
-        return *this;
-    }
-
-    FloatSize& operator+=(const FloatSize& other)
-    {
-        m_width += other.m_width;
-        m_height += other.m_height;
-        return *this;
-    }
-
-    float primary_size_for_orientation(Orientation orientation) const
-    {
-        return orientation == Orientation::Vertical ? height() : width();
-    }
-
-    void set_primary_size_for_orientation(Orientation orientation, float value)
-    {
-        if (orientation == Orientation::Vertical)
-            set_height(value);
-        else
-            set_width(value);
-    }
-
-    float secondary_size_for_orientation(Orientation orientation) const
-    {
-        return orientation == Orientation::Vertical ? width() : height();
-    }
-
-    void set_secondary_size_for_orientation(Orientation orientation, float value)
-    {
-        if (orientation == Orientation::Vertical)
-            set_width(value);
-        else
-            set_height(value);
-    }
-
-    String to_string() const { return String::format("[%gx%g]", m_width, m_height); }
-
-    IntSize to_int_size() const { return IntSize(width(), height()); }
-
-private:
-    float m_width { 0 };
-    float m_height { 0 };
-};
-
-inline const LogStream& operator<<(const LogStream& stream, const FloatSize& value)
-{
-    return stream << value.to_string();
-}
-
-}
diff --git a/Libraries/LibGfx/Forward.h b/Libraries/LibGfx/Forward.h
index befacc8171f..7d7fc2f4828 100644
--- a/Libraries/LibGfx/Forward.h
+++ b/Libraries/LibGfx/Forward.h
@@ -33,9 +33,6 @@ class CharacterBitmap;
 class Color;
 class DisjointRectSet;
 class Emoji;
-class FloatPoint;
-class FloatRect;
-class FloatSize;
 class Font;
 class GlyphBitmap;
 class ImageDecoder;
@@ -43,14 +40,29 @@ class Painter;
 class Palette;
 class PaletteImpl;
 class Path;
-class IntPoint;
-class IntRect;
 class ShareableBitmap;
-class IntSize;
 class StylePainter;
 struct SystemTheme;
 class Triangle;
 
+template<typename T>
+class Point;
+
+template<typename T>
+class Size;
+
+template<typename T>
+class Rect;
+
+using IntRect = Rect<int>;
+using FloatRect = Rect<float>;
+
+using IntPoint = Point<int>;
+using FloatPoint = Point<float>;
+
+using IntSize = Size<int>;
+using FloatSize = Size<float>;
+
 enum class BitmapFormat;
 enum class ColorRole;
 enum class TextAlignment;
diff --git a/Libraries/LibGfx/Painter.cpp b/Libraries/LibGfx/Painter.cpp
index 770f5f03de6..72cc52f029a 100644
--- a/Libraries/LibGfx/Painter.cpp
+++ b/Libraries/LibGfx/Painter.cpp
@@ -40,7 +40,6 @@
 #include <LibGfx/Path.h>
 #include <math.h>
 #include <stdio.h>
-#include <unistd.h>
 
 #if defined(__GNUC__) && !defined(__clang__)
 #    pragma GCC optimize("O3")
@@ -1399,18 +1398,18 @@ void Painter::stroke_path(const Path& path, Color color, int thickness)
             cursor = segment.point();
             break;
         case Segment::Type::LineTo:
-            draw_line(cursor, segment.point(), color, thickness);
+            draw_line(cursor.to_type<int>(), segment.point().to_type<int>(), color, thickness);
             cursor = segment.point();
             break;
         case Segment::Type::QuadraticBezierCurveTo: {
             auto& through = static_cast<const QuadraticBezierCurveSegment&>(segment).through();
-            draw_quadratic_bezier_curve(through, cursor, segment.point(), color, thickness);
+            draw_quadratic_bezier_curve(through.to_type<int>(), cursor.to_type<int>(), segment.point().to_type<int>(), color, thickness);
             cursor = segment.point();
             break;
         }
         case Segment::Type::EllipticalArcTo:
             auto& arc = static_cast<const EllipticalArcSegment&>(segment);
-            draw_elliptical_arc(cursor, segment.point(), arc.center(), arc.radii(), arc.x_axis_rotation(), arc.theta_1(), arc.theta_delta(), color, thickness);
+            draw_elliptical_arc(cursor.to_type<int>(), segment.point().to_type<int>(), arc.center().to_type<int>(), arc.radii(), arc.x_axis_rotation(), arc.theta_1(), arc.theta_delta(), color, thickness);
             cursor = segment.point();
             break;
         }
diff --git a/Libraries/LibGfx/Path.cpp b/Libraries/LibGfx/Path.cpp
index 194ff8e9820..967dd09c55d 100644
--- a/Libraries/LibGfx/Path.cpp
+++ b/Libraries/LibGfx/Path.cpp
@@ -25,13 +25,11 @@
  */
 
 #include <AK/Function.h>
-#include <AK/HashFunctions.h>
 #include <AK/HashTable.h>
 #include <AK/QuickSort.h>
 #include <AK/StringBuilder.h>
 #include <LibGfx/Painter.h>
 #include <LibGfx/Path.h>
-#include <math.h>
 
 namespace Gfx {
 
diff --git a/Libraries/LibGfx/Path.h b/Libraries/LibGfx/Path.h
index 39876533386..585f50fae1e 100644
--- a/Libraries/LibGfx/Path.h
+++ b/Libraries/LibGfx/Path.h
@@ -29,8 +29,9 @@
 #include <AK/HashMap.h>
 #include <AK/NonnullRefPtrVector.h>
 #include <AK/Optional.h>
+#include <AK/String.h>
 #include <AK/Vector.h>
-#include <LibGfx/FloatPoint.h>
+#include <LibGfx/Point.h>
 #include <LibGfx/Forward.h>
 
 namespace Gfx {
diff --git a/Libraries/LibGfx/Point.cpp b/Libraries/LibGfx/Point.cpp
index b575dbafb54..5dba69ad003 100644
--- a/Libraries/LibGfx/Point.cpp
+++ b/Libraries/LibGfx/Point.cpp
@@ -26,26 +26,38 @@
 
 #include <AK/String.h>
 #include <LibGfx/Point.h>
-#include <LibGfx/FloatPoint.h>
+#include <LibGfx/Rect.h>
 #include <LibIPC/Decoder.h>
 #include <LibIPC/Encoder.h>
 
 namespace Gfx {
 
-IntPoint::IntPoint(const FloatPoint& other)
-    : m_x(other.x())
-    , m_y(other.y())
+template<typename T>
+void Point<T>::constrain(const Rect<T>& rect)
 {
+    if (x() < rect.left()) {
+        set_x(rect.left());
+    } else if (x() > rect.right()) {
+        set_x(rect.right());
+    }
+
+    if (y() < rect.top()) {
+        set_y(rect.top());
+    } else if (y() > rect.bottom()) {
+        set_y(rect.bottom());
+    }
 }
 
+template<>
 String IntPoint::to_string() const
 {
     return String::format("[%d,%d]", x(), y());
 }
 
-const LogStream& operator<<(const LogStream& stream, const IntPoint& value)
+template<>
+String FloatPoint::to_string() const
 {
-    return stream << value.to_string();
+    return String::format("[%f,%f]", x(), y());
 }
 
 }
@@ -71,3 +83,6 @@ bool decode(Decoder& decoder, Gfx::IntPoint& point)
 }
 
 }
+
+template class Gfx::Point<int>;
+template class Gfx::Point<float>;
diff --git a/Libraries/LibGfx/Point.h b/Libraries/LibGfx/Point.h
index 59cc4d88c78..9ba78a97445 100644
--- a/Libraries/LibGfx/Point.h
+++ b/Libraries/LibGfx/Point.h
@@ -29,159 +29,206 @@
 #include <AK/Forward.h>
 #include <AK/StdLibExtras.h>
 #include <LibGfx/Orientation.h>
+#include <LibGfx/Forward.h>
 #include <LibIPC/Forward.h>
+#include <LibM/math.h>
 #include <stdlib.h>
 
 namespace Gfx {
 
-class IntRect;
-class FloatPoint;
-
-class IntPoint {
+template<typename T>
+class Point {
 public:
-    IntPoint() { }
-    IntPoint(int x, int y)
+    Point() { }
+
+    Point(T x, T y)
         : m_x(x)
         , m_y(y)
     {
     }
 
-    IntPoint(const FloatPoint&);
+    template<typename U>
+    Point(U x, U y)
+        : m_x(x)
+        , m_y(y)
+    {
+    }
 
-    int x() const { return m_x; }
-    int y() const { return m_y; }
+    template<typename U>
+    explicit Point(const Point<U>& other)
+        : m_x(other.x())
+        , m_y(other.y())
+    {
+    }
 
-    void set_x(int x) { m_x = x; }
-    void set_y(int y) { m_y = y; }
+    T x() const { return m_x; }
+    T y() const { return m_y; }
 
-    void move_by(int dx, int dy)
+    void set_x(T x) { m_x = x; }
+    void set_y(T y) { m_y = y; }
+
+    void move_by(T dx, T dy)
     {
         m_x += dx;
         m_y += dy;
     }
 
-    void move_by(const IntPoint& delta)
+    void move_by(const Point<T>& delta)
     {
         move_by(delta.x(), delta.y());
     }
 
-    IntPoint translated(const IntPoint& delta) const
+    Point<T> translated(const Point<T>& delta) const
     {
-        IntPoint point = *this;
+        Point<T> point = *this;
         point.move_by(delta);
         return point;
     }
 
-    IntPoint translated(int dx, int dy) const
+    Point<T> translated(T dx, T dy) const
     {
-        IntPoint point = *this;
+        Point<T> point = *this;
         point.move_by(dx, dy);
         return point;
     }
 
-    void constrain(const IntRect&);
-
-    bool operator==(const IntPoint& other) const
+    Point<T> translated(T dboth) const
     {
-        return m_x == other.m_x
-            && m_y == other.m_y;
+        Point<T> point = *this;
+        point.move_by(dboth, dboth);
+        return point;
     }
 
-    bool operator!=(const IntPoint& other) const
+    void constrain(const Rect<T>&);
+
+    bool operator==(const Point<T>& other) const
+    {
+        return m_x == other.m_x && m_y == other.m_y;
+    }
+
+    bool operator!=(const Point<T>& other) const
     {
         return !(*this == other);
     }
 
-    IntPoint operator-() const { return { -m_x, -m_y }; }
+    Point<T> operator+(const Point<T>& other) const { return { m_x + other.m_x, m_y + other.m_y }; }
 
-    IntPoint operator-(const IntPoint& other) const { return { m_x - other.m_x, m_y - other.m_y }; }
-    IntPoint& operator-=(const IntPoint& other)
+    Point<T>& operator+=(const Point<T>& other)
+    {
+        m_x += other.m_x;
+        m_y += other.m_y;
+        return *this;
+    }
+
+    Point<T> operator-() const { return { -m_x, -m_y }; }
+
+    Point<T> operator-(const Point<T>& other) const { return { m_x - other.m_x, m_y - other.m_y }; }
+
+    Point<T>& operator-=(const Point<T>& other)
     {
         m_x -= other.m_x;
         m_y -= other.m_y;
         return *this;
     }
 
-    IntPoint& operator+=(const IntPoint& other)
-    {
-        m_x += other.m_x;
-        m_y += other.m_y;
-        return *this;
-    }
-    IntPoint operator+(const IntPoint& other) const { return { m_x + other.m_x, m_y + other.m_y }; }
+    Point<T> operator*(int factor) const { return { m_x * factor, m_y * factor }; }
 
-    IntPoint& operator*=(int factor)
+    Point<T>& operator*=(T factor)
     {
         m_x *= factor;
         m_y *= factor;
         return *this;
     }
-    IntPoint operator*(int factor) const { return { m_x * factor, m_y * factor }; }
 
-    IntPoint& operator/=(int factor)
+    Point<T> operator/(int factor) const { return { m_x / factor, m_y / factor }; }
+
+    Point<T>& operator/=(int factor)
     {
         m_x /= factor;
         m_y /= factor;
         return *this;
     }
-    IntPoint operator/(int factor) const { return { m_x / factor, m_y / factor }; }
-
-    String to_string() const;
 
     bool is_null() const { return !m_x && !m_y; }
 
-    int primary_offset_for_orientation(Orientation orientation) const
+    T primary_offset_for_orientation(Orientation orientation) const
     {
         return orientation == Orientation::Vertical ? y() : x();
     }
 
-    void set_primary_offset_for_orientation(Orientation orientation, int value)
+    void set_primary_offset_for_orientation(Orientation orientation, T value)
     {
-        if (orientation == Orientation::Vertical)
+        if (orientation == Orientation::Vertical) {
             set_y(value);
-        else
+        } else {
             set_x(value);
+        }
     }
 
-    int secondary_offset_for_orientation(Orientation orientation) const
+    T secondary_offset_for_orientation(Orientation orientation) const
     {
         return orientation == Orientation::Vertical ? x() : y();
     }
 
-    void set_secondary_offset_for_orientation(Orientation orientation, int value)
+    void set_secondary_offset_for_orientation(Orientation orientation, T value)
     {
-        if (orientation == Orientation::Vertical)
+        if (orientation == Orientation::Vertical) {
             set_x(value);
-        else
+        } else {
             set_y(value);
+        }
     }
 
-    int dx_relative_to(const IntPoint& other) const
+    T dx_relative_to(const Point<T>& other) const
     {
         return x() - other.x();
     }
 
-    int dy_relative_to(const IntPoint& other) const
+    T dy_relative_to(const Point<T>& other) const
     {
         return y() - other.y();
     }
 
     // Returns pixels moved from other in either direction
-    int pixels_moved(const IntPoint& other) const
+    T pixels_moved(const Point<T>& other) const
     {
         return max(abs(dx_relative_to(other)), abs(dy_relative_to(other)));
     }
 
+    float distance_from(const Point<T>& other) const
+    {
+        if (*this == other)
+            return 0;
+        return sqrtf(powf(m_x - other.m_x, 2.0f) + powf(m_y - other.m_y, 2.0f));
+    }
+
+    template<typename U>
+    Point<U> to_type() const
+    {
+        return Point<U>(*this);
+    }
+
+    String to_string() const;
+
 private:
-    int m_x { 0 };
-    int m_y { 0 };
+    T m_x { 0 };
+    T m_y { 0 };
 };
 
-const LogStream& operator<<(const LogStream&, const IntPoint&);
+template<typename T>
+const LogStream& operator<<(const LogStream& stream, const Point<T>& point)
+{
+    return stream << point.to_string();
+}
+
+using IntPoint = Point<int>;
+using FloatPoint = Point<float>;
 
 }
 
 namespace IPC {
+
 bool encode(Encoder&, const Gfx::IntPoint&);
 bool decode(Decoder&, Gfx::IntPoint&);
+
 }
diff --git a/Libraries/LibGfx/Rect.cpp b/Libraries/LibGfx/Rect.cpp
index c654cb0d257..51ba5f509f5 100644
--- a/Libraries/LibGfx/Rect.cpp
+++ b/Libraries/LibGfx/Rect.cpp
@@ -33,12 +33,13 @@
 
 namespace Gfx {
 
-void IntRect::intersect(const IntRect& other)
+template<typename T>
+void Rect<T>::intersect(const Rect<T>& other)
 {
-    int l = max(left(), other.left());
-    int r = min(right(), other.right());
-    int t = max(top(), other.top());
-    int b = min(bottom(), other.bottom());
+    T l = max(left(), other.left());
+    T r = min(right(), other.right());
+    T t = max(top(), other.top());
+    T b = min(bottom(), other.bottom());
 
     if (l > r || t > b) {
         m_location = {};
@@ -52,13 +53,14 @@ void IntRect::intersect(const IntRect& other)
     m_size.set_height((b - t) + 1);
 }
 
-IntRect IntRect::united(const IntRect& other) const
+template<typename T>
+Rect<T> Rect<T>::united(const Rect<T>& other) const
 {
     if (is_null())
         return other;
     if (other.is_null())
         return *this;
-    IntRect rect;
+    Rect<T> rect;
     rect.set_left(min(left(), other.left()));
     rect.set_top(min(top(), other.top()));
     rect.set_right(max(right(), other.right()));
@@ -66,32 +68,33 @@ IntRect IntRect::united(const IntRect& other) const
     return rect;
 }
 
-Vector<IntRect, 4> IntRect::shatter(const IntRect& hammer) const
+template<typename T>
+Vector<Rect<T>, 4> Rect<T>::shatter(const Rect<T>& hammer) const
 {
-    Vector<IntRect, 4> pieces;
+    Vector<Rect<T>, 4> pieces;
     if (!intersects(hammer)) {
         pieces.unchecked_append(*this);
         return pieces;
     }
-    IntRect top_shard {
+    Rect<T> top_shard {
         x(),
         y(),
         width(),
         hammer.y() - y()
     };
-    IntRect bottom_shard {
+    Rect<T> bottom_shard {
         x(),
         hammer.y() + hammer.height(),
         width(),
         (y() + height()) - (hammer.y() + hammer.height())
     };
-    IntRect left_shard {
+    Rect<T> left_shard {
         x(),
         max(hammer.y(), y()),
         hammer.x() - x(),
         min((hammer.y() + hammer.height()), (y() + height())) - max(hammer.y(), y())
     };
-    IntRect right_shard {
+    Rect<T> right_shard {
         hammer.x() + hammer.width(),
         max(hammer.y(), y()),
         right() - hammer.right(),
@@ -109,7 +112,8 @@ Vector<IntRect, 4> IntRect::shatter(const IntRect& hammer) const
     return pieces;
 }
 
-void IntRect::align_within(const IntRect& other, TextAlignment alignment)
+template<typename T>
+void Rect<T>::align_within(const Rect<T>& other, TextAlignment alignment)
 {
     switch (alignment) {
     case TextAlignment::Center:
@@ -133,14 +137,16 @@ void IntRect::align_within(const IntRect& other, TextAlignment alignment)
     }
 }
 
+template<>
 String IntRect::to_string() const
 {
     return String::format("[%d,%d %dx%d]", x(), y(), width(), height());
 }
 
-const LogStream& operator<<(const LogStream& stream, const IntRect& value)
+template<>
+String FloatRect::to_string() const
 {
-    return stream << value.to_string();
+    return String::format("[%f,%f %fx%f]", x(), y(), width(), height());
 }
 
 }
@@ -166,3 +172,6 @@ bool decode(Decoder& decoder, Gfx::IntRect& rect)
 }
 
 }
+
+template class Gfx::Rect<int>;
+template class Gfx::Rect<float>;
diff --git a/Libraries/LibGfx/Rect.h b/Libraries/LibGfx/Rect.h
index 67c495b193b..94d133d846a 100644
--- a/Libraries/LibGfx/Rect.h
+++ b/Libraries/LibGfx/Rect.h
@@ -26,30 +26,58 @@
 
 #pragma once
 
-#include <AK/Forward.h>
 #include <LibGfx/Orientation.h>
 #include <LibGfx/Point.h>
 #include <LibGfx/Size.h>
 #include <LibGfx/TextAlignment.h>
-#include <LibIPC/Forward.h>
-#include <stdlib.h>
+#include <LibM/math.h>
 
 namespace Gfx {
 
-class IntRect {
+template<typename T>
+T abst(T value)
+{
+    return value < 0 ? -value : value;
+}
+
+template<typename T>
+class Rect {
 public:
-    IntRect() {}
-    IntRect(int x, int y, int width, int height)
+    Rect() {}
+
+    Rect(T x, T y, T width, T height)
         : m_location(x, y)
         , m_size(width, height)
     {
     }
-    IntRect(const IntPoint& location, const IntSize& size)
+
+    template<typename U>
+    Rect(U x, U y, U width, U height)
+        : m_location(x, y)
+        , m_size(width, height)
+    {
+    }
+
+    Rect(const Point<T>& location, const Size<T>& size)
         : m_location(location)
         , m_size(size)
     {
     }
 
+    template<typename U>
+    Rect(const Point<U>& location, const Size<U>& size)
+        : m_location(location)
+        , m_size(size)
+    {
+    }
+
+    template<typename U>
+    explicit Rect(const Rect<U>& other)
+        : m_location(other.location())
+        , m_size(other.size())
+    {
+    }
+
     bool is_null() const
     {
         return width() == 0 && height() == 0;
@@ -60,38 +88,38 @@ public:
         return width() <= 0 || height() <= 0;
     }
 
-    void move_by(int dx, int dy)
+    void move_by(T dx, T dy)
     {
         m_location.move_by(dx, dy);
     }
 
-    void move_by(const IntPoint& delta)
+    void move_by(const Point<T>& delta)
     {
         m_location.move_by(delta);
     }
 
-    IntPoint center() const
+    Point<T> center() const
     {
         return { x() + width() / 2, y() + height() / 2 };
     }
 
-    void set_location(const IntPoint& location)
+    void set_location(const Point<T>& location)
     {
         m_location = location;
     }
 
-    void set_size(const IntSize& size)
+    void set_size(const Size<T>& size)
     {
         m_size = size;
     }
 
-    void set_size(int width, int height)
+    void set_size(T width, T height)
     {
         m_size.set_width(width);
         m_size.set_height(height);
     }
 
-    void inflate(int w, int h)
+    void inflate(T w, T h)
     {
         set_x(x() - w / 2);
         set_width(width() + w);
@@ -99,7 +127,7 @@ public:
         set_height(height() + h);
     }
 
-    void shrink(int w, int h)
+    void shrink(T w, T h)
     {
         set_x(x() + w / 2);
         set_width(width() - w);
@@ -107,55 +135,55 @@ public:
         set_height(height() - h);
     }
 
-    IntRect shrunken(int w, int h) const
+    Rect<T> shrunken(T w, T h) const
     {
-        IntRect rect = *this;
+        Rect<T> rect = *this;
         rect.shrink(w, h);
         return rect;
     }
 
-    IntRect inflated(int w, int h) const
+    Rect<T> inflated(T w, T h) const
     {
-        IntRect rect = *this;
+        Rect<T> rect = *this;
         rect.inflate(w, h);
         return rect;
     }
 
-    IntRect translated(int dx, int dy) const
+    Rect<T> translated(T dx, T dy) const
     {
-        IntRect rect = *this;
+        Rect<T> rect = *this;
         rect.move_by(dx, dy);
         return rect;
     }
 
-    IntRect translated(const IntPoint& delta) const
+    Rect<T> translated(const Point<T>& delta) const
     {
-        IntRect rect = *this;
+        Rect<T> rect = *this;
         rect.move_by(delta);
         return rect;
     }
 
-    bool contains_vertically(int y) const
+    bool contains_vertically(T y) const
     {
         return y >= top() && y <= bottom();
     }
 
-    bool contains_horizontally(int x) const
+    bool contains_horizontally(T x) const
     {
         return x >= left() && x <= right();
     }
 
-    bool contains(int x, int y) const
+    bool contains(T x, T y) const
     {
         return x >= m_location.x() && x <= right() && y >= m_location.y() && y <= bottom();
     }
 
-    bool contains(const IntPoint& point) const
+    bool contains(const Point<T>& point) const
     {
         return contains(point.x(), point.y());
     }
 
-    bool contains(const IntRect& other) const
+    bool contains(const Rect<T>& other) const
     {
         return left() <= other.left()
             && right() >= other.right()
@@ -173,70 +201,68 @@ public:
     void set_primary_size_for_orientation(Orientation orientation, int value) { m_size.set_primary_size_for_orientation(orientation, value); }
     void set_secondary_size_for_orientation(Orientation orientation, int value) { m_size.set_secondary_size_for_orientation(orientation, value); }
 
-    int first_edge_for_orientation(Orientation orientation) const
+    T first_edge_for_orientation(Orientation orientation) const
     {
         if (orientation == Orientation::Vertical)
             return top();
         return left();
     }
 
-    int last_edge_for_orientation(Orientation orientation) const
+    T last_edge_for_orientation(Orientation orientation) const
     {
         if (orientation == Orientation::Vertical)
             return bottom();
         return right();
     }
 
-    int left() const { return x(); }
-    int right() const { return x() + width() - 1; }
-    int top() const { return y(); }
-    int bottom() const { return y() + height() - 1; }
+    T left() const { return x(); }
+    T right() const { return x() + width() - 1; }
+    T top() const { return y(); }
+    T bottom() const { return y() + height() - 1; }
 
-    void set_left(int left)
+    void set_left(T left)
     {
         set_x(left);
     }
 
-    void set_top(int top)
+    void set_top(T top)
     {
         set_y(top);
     }
 
-    void set_right(int right)
+    void set_right(T right)
     {
         set_width(right - x() + 1);
     }
 
-    void set_bottom(int bottom)
+    void set_bottom(T bottom)
     {
         set_height(bottom - y() + 1);
     }
 
-    void set_right_without_resize(int new_right)
+    void set_right_without_resize(T new_right)
     {
         int delta = new_right - right();
         move_by(delta, 0);
     }
 
-    void set_bottom_without_resize(int new_bottom)
+    void set_bottom_without_resize(T new_bottom)
     {
         int delta = new_bottom - bottom();
         move_by(0, delta);
     }
 
-    bool intersects_vertically(const IntRect& other) const
+    bool intersects_vertically(const Rect<T>& other) const
     {
-        return top() <= other.bottom()
-            && other.top() <= bottom();
+        return top() <= other.bottom() && other.top() <= bottom();
     }
 
-    bool intersects_horizontally(const IntRect& other) const
+    bool intersects_horizontally(const Rect<T>& other) const
     {
-        return left() <= other.right()
-            && other.left() <= right();
+        return left() <= other.right() && other.left() <= right();
     }
 
-    bool intersects(const IntRect& other) const
+    bool intersects(const Rect<T>& other) const
     {
         return left() <= other.right()
             && other.left() <= right()
@@ -244,100 +270,112 @@ public:
             && other.top() <= bottom();
     }
 
-    int x() const { return location().x(); }
-    int y() const { return location().y(); }
-    int width() const { return m_size.width(); }
-    int height() const { return m_size.height(); }
+    T x() const { return location().x(); }
+    T y() const { return location().y(); }
+    T width() const { return m_size.width(); }
+    T height() const { return m_size.height(); }
 
-    void set_x(int x) { m_location.set_x(x); }
-    void set_y(int y) { m_location.set_y(y); }
-    void set_width(int width) { m_size.set_width(width); }
-    void set_height(int height) { m_size.set_height(height); }
+    void set_x(T x) { m_location.set_x(x); }
+    void set_y(T y) { m_location.set_y(y); }
+    void set_width(T width) { m_size.set_width(width); }
+    void set_height(T height) { m_size.set_height(height); }
 
-    IntPoint location() const { return m_location; }
-    IntSize size() const { return m_size; }
+    const Point<T>& location() const { return m_location; }
+    const Size<T>& size() const { return m_size; }
 
-    Vector<IntRect, 4> shatter(const IntRect& hammer) const;
+    Vector<Rect<T>, 4> shatter(const Rect<T>& hammer) const;
 
-    bool operator==(const IntRect& other) const
+    bool operator==(const Rect<T>& other) const
     {
-        return m_location == other.m_location
-            && m_size == other.m_size;
+        return m_location == other.m_location && m_size == other.m_size;
     }
 
-    bool operator!=(const IntRect& other) const
+    bool operator!=(const Rect<T>& other) const
     {
         return !(*this == other);
     }
 
-    void intersect(const IntRect&);
+    void intersect(const Rect<T>&);
 
-    static IntRect from_two_points(const IntPoint& a, const IntPoint& b)
+    static Rect<T> from_two_points(const Point<T>& a, const Point<T>& b)
     {
-        return { min(a.x(), b.x()), min(a.y(), b.y()), abs(a.x() - b.x()), abs(a.y() - b.y()) };
+        return { min(a.x(), b.x()), min(a.y(), b.y()), abst(a.x() - b.x()), abst(a.y() - b.y()) };
     }
 
-    static IntRect intersection(const IntRect& a, const IntRect& b)
+    static Rect<T> intersection(const Rect<T>& a, const Rect<T>& b)
     {
-        IntRect r(a);
+        Rect<T> r = a;
         r.intersect(b);
         return r;
     }
 
-    IntRect intersected(const IntRect& other) const
+    Rect<T> intersected(const Rect<T>& other) const
     {
         return intersection(*this, other);
     }
 
-    IntRect united(const IntRect&) const;
+    Rect<T> united(const Rect<T>&) const;
 
-    IntPoint top_left() const { return { left(), top() }; }
-    IntPoint top_right() const { return { right(), top() }; }
-    IntPoint bottom_left() const { return { left(), bottom() }; }
-    IntPoint bottom_right() const { return { right(), bottom() }; }
+    Point<T> top_left() const { return { left(), top() }; }
+    Point<T> top_right() const { return { right(), top() }; }
+    Point<T> bottom_left() const { return { left(), bottom() }; }
+    Point<T> bottom_right() const { return { right(), bottom() }; }
 
-    void align_within(const IntRect&, TextAlignment);
+    void align_within(const Rect<T>&, TextAlignment);
 
-    void center_within(const IntRect& other)
+    void center_within(const Rect<T>& other)
     {
         center_horizontally_within(other);
         center_vertically_within(other);
     }
 
-    void center_horizontally_within(const IntRect& other)
+    void center_horizontally_within(const Rect<T>& other)
     {
         set_x(other.center().x() - width() / 2);
     }
 
-    void center_vertically_within(const IntRect& other)
+    void center_vertically_within(const Rect<T>& other)
     {
         set_y(other.center().y() - height() / 2);
     }
 
+    template<typename U>
+    Rect<U> to() const
+    {
+        return Rect<U>(*this);
+    }
+
     String to_string() const;
 
 private:
-    IntPoint m_location;
-    IntSize m_size;
+    Point<T> m_location;
+    Size<T> m_size;
 };
 
-inline void IntPoint::constrain(const IntRect& rect)
+template<typename T>
+const LogStream& operator<<(const LogStream& stream, const Rect<T>& rect)
 {
-    if (x() < rect.left())
-        set_x(rect.left());
-    else if (x() > rect.right())
-        set_x(rect.right());
-    if (y() < rect.top())
-        set_y(rect.top());
-    else if (y() > rect.bottom())
-        set_y(rect.bottom());
+    return stream << rect.to_string();
 }
 
-const LogStream& operator<<(const LogStream&, const IntRect&);
+using IntRect = Rect<int>;
+using FloatRect = Rect<float>;
+
+ALWAYS_INLINE IntRect enclosing_int_rect(const FloatRect& float_rect)
+{
+    return {
+        (int)float_rect.x(),
+        (int)float_rect.y(),
+        (int)ceilf(float_rect.width()),
+        (int)ceilf(float_rect.height()),
+    };
+}
 
 }
 
 namespace IPC {
+
 bool decode(Decoder&, Gfx::IntRect&);
 bool encode(Encoder&, const Gfx::IntRect&);
+
 }
diff --git a/Libraries/LibGfx/ShareableBitmap.cpp b/Libraries/LibGfx/ShareableBitmap.cpp
index ea19a5c67f0..662a294f258 100644
--- a/Libraries/LibGfx/ShareableBitmap.cpp
+++ b/Libraries/LibGfx/ShareableBitmap.cpp
@@ -27,6 +27,7 @@
 #include <AK/SharedBuffer.h>
 #include <LibGfx/Bitmap.h>
 #include <LibGfx/ShareableBitmap.h>
+#include <LibGfx/Size.h>
 #include <LibIPC/Decoder.h>
 #include <LibIPC/Encoder.h>
 
diff --git a/Libraries/LibGfx/ShareableBitmap.h b/Libraries/LibGfx/ShareableBitmap.h
index ac0ecca36b8..443835f6054 100644
--- a/Libraries/LibGfx/ShareableBitmap.h
+++ b/Libraries/LibGfx/ShareableBitmap.h
@@ -57,6 +57,8 @@ private:
 }
 
 namespace IPC {
+
 bool encode(Encoder&, const Gfx::ShareableBitmap&);
 bool decode(Decoder&, Gfx::ShareableBitmap&);
+
 }
diff --git a/Libraries/LibGfx/Size.cpp b/Libraries/LibGfx/Size.cpp
index 648aa5708ba..c2d809c357c 100644
--- a/Libraries/LibGfx/Size.cpp
+++ b/Libraries/LibGfx/Size.cpp
@@ -31,14 +31,16 @@
 
 namespace Gfx {
 
+template<>
 String IntSize::to_string() const
 {
     return String::format("[%dx%d]", m_width, m_height);
 }
 
-const LogStream& operator<<(const LogStream& stream, const IntSize& value)
+template<>
+String FloatSize::to_string() const
 {
-    return stream << value.to_string();
+    return String::format("[%fx%f]", m_width, m_height);
 }
 
 }
@@ -64,3 +66,6 @@ bool decode(Decoder& decoder, Gfx::IntSize& size)
 }
 
 }
+
+template class Gfx::Size<int>;
+template class Gfx::Size<float>;
diff --git a/Libraries/LibGfx/Size.h b/Libraries/LibGfx/Size.h
index 59eb27a66df..05b71a246ba 100644
--- a/Libraries/LibGfx/Size.h
+++ b/Libraries/LibGfx/Size.h
@@ -32,88 +32,121 @@
 
 namespace Gfx {
 
-class IntSize {
+template<typename T>
+class Size {
 public:
-    IntSize() {}
-    IntSize(int w, int h)
+    Size() {}
+
+    Size(T w, T h)
         : m_width(w)
         , m_height(h)
     {
     }
 
+    template<typename U>
+    Size(U width, U height)
+        : m_width(width)
+        , m_height(height)
+    {
+    }
+
+    template<typename U>
+    explicit Size(const Size<U>& other)
+        : m_width(other.width())
+        , m_height(other.height())
+    {
+    }
+
     bool is_null() const { return !m_width && !m_height; }
     bool is_empty() const { return m_width <= 0 || m_height <= 0; }
 
-    int width() const { return m_width; }
-    int height() const { return m_height; }
+    T width() const { return m_width; }
+    T height() const { return m_height; }
 
-    int area() const { return width() * height(); }
+    T area() const { return width() * height(); }
 
-    void set_width(int w) { m_width = w; }
-    void set_height(int h) { m_height = h; }
+    void set_width(T w) { m_width = w; }
+    void set_height(T h) { m_height = h; }
 
-    bool operator==(const IntSize& other) const
+    bool operator==(const Size<T>& other) const
     {
         return m_width == other.m_width && m_height == other.m_height;
     }
 
-    bool operator!=(const IntSize& other) const
+    bool operator!=(const Size<T>& other) const
     {
         return !(*this == other);
     }
 
-    IntSize& operator-=(const IntSize& other)
+    Size<T>& operator-=(const Size<T>& other)
     {
         m_width -= other.m_width;
         m_height -= other.m_height;
         return *this;
     }
 
-    IntSize& operator+=(const IntSize& other)
+    Size<T>& operator+=(const Size<T>& other)
     {
         m_width += other.m_width;
         m_height += other.m_height;
         return *this;
     }
 
-    int primary_size_for_orientation(Orientation orientation) const
+    T primary_size_for_orientation(Orientation orientation) const
     {
         return orientation == Orientation::Vertical ? height() : width();
     }
 
-    void set_primary_size_for_orientation(Orientation orientation, int value)
+    void set_primary_size_for_orientation(Orientation orientation, T value)
     {
-        if (orientation == Orientation::Vertical)
+        if (orientation == Orientation::Vertical) {
             set_height(value);
-        else
+        } else {
             set_width(value);
+        }
     }
 
-    int secondary_size_for_orientation(Orientation orientation) const
+    T secondary_size_for_orientation(Orientation orientation) const
     {
         return orientation == Orientation::Vertical ? width() : height();
     }
 
-    void set_secondary_size_for_orientation(Orientation orientation, int value)
+    void set_secondary_size_for_orientation(Orientation orientation, T value)
     {
-        if (orientation == Orientation::Vertical)
+        if (orientation == Orientation::Vertical) {
             set_width(value);
-        else
+        } else {
             set_height(value);
+        }
+    }
+
+    template<typename U>
+    Size<U> to_type() const
+    {
+        return Size<U>(*this);
     }
 
     String to_string() const;
 
 private:
-    int m_width { 0 };
-    int m_height { 0 };
+    T m_width { 0 };
+    T m_height { 0 };
 };
 
-const LogStream& operator<<(const LogStream&, const IntSize&);
+template<typename T>
+const LogStream& operator<<(const LogStream& stream, const Gfx::Size<T>& size)
+{
+    return stream << size.to_string();
+}
+
+using IntSize = Size<int>;
+using FloatSize = Size<float>;
 
 }
 
 namespace IPC {
+
 bool encode(Encoder&, const Gfx::IntSize&);
 bool decode(Decoder&, Gfx::IntSize&);
+
 }
diff --git a/Libraries/LibWeb/Frame/Frame.cpp b/Libraries/LibWeb/Frame/Frame.cpp
index a0e67047c84..d4af97a0da0 100644
--- a/Libraries/LibWeb/Frame/Frame.cpp
+++ b/Libraries/LibWeb/Frame/Frame.cpp
@@ -163,7 +163,7 @@ Gfx::IntPoint Frame::to_main_frame_position(const Gfx::IntPoint& a_position)
             return {};
         if (!ancestor->host_element()->layout_node())
             return {};
-        position.move_by(ancestor->host_element()->layout_node()->box_type_agnostic_position().to_int_point());
+        position.move_by(ancestor->host_element()->layout_node()->box_type_agnostic_position().to_type<int>());
     }
     return position;
 }
diff --git a/Libraries/LibWeb/HTML/CanvasRenderingContext2D.cpp b/Libraries/LibWeb/HTML/CanvasRenderingContext2D.cpp
index 5ae760c97d9..5b8a7c1605c 100644
--- a/Libraries/LibWeb/HTML/CanvasRenderingContext2D.cpp
+++ b/Libraries/LibWeb/HTML/CanvasRenderingContext2D.cpp
@@ -82,10 +82,10 @@ void CanvasRenderingContext2D::stroke_rect(float x, float y, float width, float
 
     auto rect = m_transform.map(Gfx::FloatRect(x, y, width, height));
 
-    auto top_left = m_transform.map(Gfx::FloatPoint(x, y)).to_int_point();
-    auto top_right = m_transform.map(Gfx::FloatPoint(x + width - 1, y)).to_int_point();
-    auto bottom_left = m_transform.map(Gfx::FloatPoint(x, y + height - 1)).to_int_point();
-    auto bottom_right = m_transform.map(Gfx::FloatPoint(x + width - 1, y + height - 1)).to_int_point();
+    auto top_left = m_transform.map(Gfx::FloatPoint(x, y)).to_type<int>();
+    auto top_right = m_transform.map(Gfx::FloatPoint(x + width - 1, y)).to_type<int>();
+    auto bottom_left = m_transform.map(Gfx::FloatPoint(x, y + height - 1)).to_type<int>();
+    auto bottom_right = m_transform.map(Gfx::FloatPoint(x + width - 1, y + height - 1)).to_type<int>();
 
     painter->draw_line(top_left, top_right, m_stroke_style, m_line_width);
     painter->draw_line(top_right, bottom_right, m_stroke_style, m_line_width);
diff --git a/Libraries/LibWeb/Layout/LayoutBox.h b/Libraries/LibWeb/Layout/LayoutBox.h
index 27bb8a86871..8fdc1397e10 100644
--- a/Libraries/LibWeb/Layout/LayoutBox.h
+++ b/Libraries/LibWeb/Layout/LayoutBox.h
@@ -27,7 +27,7 @@
 #pragma once
 
 #include <AK/OwnPtr.h>
-#include <LibGfx/FloatRect.h>
+#include <LibGfx/Rect.h>
 #include <LibWeb/Layout/LayoutNode.h>
 #include <LibWeb/Painting/StackingContext.h>
 
diff --git a/Libraries/LibWeb/Layout/LayoutFrame.cpp b/Libraries/LibWeb/Layout/LayoutFrame.cpp
index 4af5645b2cd..ae980b0ff7f 100644
--- a/Libraries/LibWeb/Layout/LayoutFrame.cpp
+++ b/Libraries/LibWeb/Layout/LayoutFrame.cpp
@@ -90,7 +90,7 @@ void LayoutFrame::did_set_rect()
     LayoutReplaced::did_set_rect();
 
     ASSERT(node().hosted_frame());
-    node().hosted_frame()->set_size(size().to_int_size());
+    node().hosted_frame()->set_size(size().to_type<int>());
 }
 
 }
diff --git a/Libraries/LibWeb/Layout/LayoutNode.h b/Libraries/LibWeb/Layout/LayoutNode.h
index e6b2e55ff3e..ad9645fd4dc 100644
--- a/Libraries/LibWeb/Layout/LayoutNode.h
+++ b/Libraries/LibWeb/Layout/LayoutNode.h
@@ -29,7 +29,6 @@
 #include <AK/NonnullRefPtr.h>
 #include <AK/TypeCasts.h>
 #include <AK/Vector.h>
-#include <LibGfx/FloatRect.h>
 #include <LibGfx/Rect.h>
 #include <LibWeb/CSS/StyleProperties.h>
 #include <LibWeb/Forward.h>
diff --git a/Libraries/LibWeb/Layout/LayoutWidget.cpp b/Libraries/LibWeb/Layout/LayoutWidget.cpp
index 3719c61e6fb..d4cdd1c50e9 100644
--- a/Libraries/LibWeb/Layout/LayoutWidget.cpp
+++ b/Libraries/LibWeb/Layout/LayoutWidget.cpp
@@ -59,7 +59,7 @@ void LayoutWidget::did_set_rect()
 
 void LayoutWidget::update_widget()
 {
-    auto adjusted_widget_position = absolute_rect().location().to_int_point();
+    auto adjusted_widget_position = absolute_rect().location().to_type<int>();
     auto& page_view = static_cast<const PageView&>(frame().page().client());
     adjusted_widget_position.move_by(-page_view.horizontal_scrollbar().value(), -page_view.vertical_scrollbar().value());
     widget().move_to(adjusted_widget_position);
diff --git a/Libraries/LibWeb/Layout/LineBoxFragment.h b/Libraries/LibWeb/Layout/LineBoxFragment.h
index 5d08e1b72f5..c7ce9a19030 100644
--- a/Libraries/LibWeb/Layout/LineBoxFragment.h
+++ b/Libraries/LibWeb/Layout/LineBoxFragment.h
@@ -27,7 +27,7 @@
 #pragma once
 
 #include <AK/Weakable.h>
-#include <LibGfx/FloatRect.h>
+#include <LibGfx/Rect.h>
 #include <LibGfx/Forward.h>
 #include <LibWeb/Forward.h>
 
diff --git a/Libraries/LibWeb/PageView.cpp b/Libraries/LibWeb/PageView.cpp
index 491078dd3cb..9d53c97257c 100644
--- a/Libraries/LibWeb/PageView.cpp
+++ b/Libraries/LibWeb/PageView.cpp
@@ -161,7 +161,7 @@ String PageView::selected_text() const
 void PageView::page_did_layout()
 {
     ASSERT(layout_root());
-    set_content_size(layout_root()->size().to_int_size());
+    set_content_size(layout_root()->size().to_type<int>());
 }
 
 void PageView::page_did_change_title(const String& title)
@@ -263,14 +263,14 @@ void PageView::layout_and_sync_size()
 
     page().main_frame().set_size(available_size());
     document()->layout();
-    set_content_size(layout_root()->size().to_int_size());
+    set_content_size(layout_root()->size().to_type<int>());
 
     // NOTE: If layout caused us to gain or lose scrollbars, we have to lay out again
     //       since the scrollbars now take up some of the available space.
     if (had_vertical_scrollbar != vertical_scrollbar().is_visible() || had_horizontal_scrollbar != horizontal_scrollbar().is_visible()) {
         page().main_frame().set_size(available_size());
         document()->layout();
-        set_content_size(layout_root()->size().to_int_size());
+        set_content_size(layout_root()->size().to_type<int>());
     }
 
     page().main_frame().set_viewport_rect(viewport_rect_in_content_coordinates());
diff --git a/Libraries/LibWeb/SVG/SVGSVGElement.cpp b/Libraries/LibWeb/SVG/SVGSVGElement.cpp
index 0d6a1f97ac9..36898d4bc3b 100644
--- a/Libraries/LibWeb/SVG/SVGSVGElement.cpp
+++ b/Libraries/LibWeb/SVG/SVGSVGElement.cpp
@@ -25,7 +25,6 @@
  */
 
 #include <LibGfx/Painter.h>
-#include <LibGfx/Path.h>
 #include <LibWeb/CSS/StyleResolver.h>
 #include <LibWeb/DOM/Document.h>
 #include <LibWeb/DOM/Event.h>