Area of a Rectangle
The area of a rectangle is the amount of two-dimensional space enclosed within its four sides. It is calculated by multiplying the length by the width. The rectangle is one of the most common shapes in geometry and everyday life, from screens and rooms to fields and paper.
Rectangle Properties
Area
The space enclosed within the rectangle.
A = length x width
Perimeter
The total distance around the rectangle.
P = 2(length + width)
Diagonal
The distance between opposite corners, found using the Pythagorean theorem.
d = sqrt(l^2 + w^2)
Practical Applications
- Calculating the floor area of a room for flooring or carpet.
- Determining the size of a wall for painting or wallpaper.
- Computing the area of a screen, window, or solar panel.
- Measuring land plots and agricultural fields.
- Sizing materials in manufacturing and construction.
Special Case: Square
A square is a special rectangle where all sides are equal. Its area is simply A = s2, where s is the side length. Every square is a rectangle, but not every rectangle is a square.