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How Do You Find the Perimeter and Area of a Square?


Now, let’s look at one type of quadrilateral, the square. In a square, all the angles are 90°, and all the sides have the same length. As all the angles are 90°, the square is a special case of a rectangle.

Perimeter of a Square

To find the perimeter of a square, you only need to know the length of one of the sides. As the sides are all of equal length, you can just multiply the length of one side by 4.

Formula

Perimeter of a Square

P = 4 side = 4 s

Square with side length s

Example 1

Calculate the perimeter of the following square:

Example of perimeter of square with side length 3

Example of perimeter of square with side length 3

We use the formula and find:

P = 4 3cm = 12cm

Area of a Square

When finding the area of a square, you multiply the square’s height by its width. As the height and the width are the same in a square, you just multiply the length of one side by itself.

Formula

Area of a Square

A = side side = s s = s2

Square with side length S

Example 2

Find the area of the following square:

Example of area of square with side length 4

The area is equal to

A = 4cm 4cm = 16cm2

The area is thus 16 cm2.

The math master filling in a square

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What Is a Quadrilateral?
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How Do You Find the Perimeter and Area of a Rectangle?