Area

The Area of an 2D shape would be the total size of its surface. Area is measured in square units such as square centimeters (\(\text{cm}^2\) ), square inches ( \(\text{in}^2\) ) etc..

Area of Common Shapes

Let's look at how to calculate the area of the shapes below:

Triangle

Area of a Triangle with a, b, and c representing its side lengths and h representing its height.

The area of a triangle with height \(h\) and base \(b\) is calculated as:

\(A = \cfrac{1}{2} b h\)

Square

Area of a Square with s representing its side length.

The area of a square with side length \(s\) is calculated as:

\(A = s^2\)

Rectangle

Area of a Rectangle with l and w representing its side lengths.

The area of a rectangle with side lengths \(l\) and \(w\) is calculated as:

\(A = lw\)

Circle

Area of a Circle with r representing its radius.

The area of a circle with radius \(r\) is calculated as:

\(A = \pi r^2\)

Trapezoid

Area of a Trapezoid with a, b, c, and d representing its side lengths and h  representing its height.

The area of a trapezoid with side lengths, \(a\) and \(c\), and height \(h\) is calculated as:

\(A = \cfrac{1}{2} (a + c ) h\)

Parallelogram

Area of a Parallelogram with a and b representing its side lengths and h representing its height.

The area of a parallelogram with side length \(a\), base length \(b\), and height \(h\) is calculated as:

\(A = bh\)

The area of a rectangle is \(28\) square meters. The length is \(7\) meters. What is the width of the rectangle?

The diameter of a round party size pizza at Gino's Pizza is \(20\) inches. What is the area of the delicious pizza? If the pizza is cut into \(16\) slices, what is the area of a single slice?