Area of a Square Formula

What is a Square?

A square is a special rectangle in which all sides are equal. That is, all four angles of a square are right angles, 90 degrees.

The Area of a Square

Area of a square measures the interior space. It would give us an account of how much space the square covers.

The Formula

To find the area of a square, you use this formula:

 

Where:

• a is the length of one side of the square.

Solved Problems

Problem 1: Find the area of the square, whose side measures 16 cm.

Solution:

Side of the square is given, a = 16 cm

Area of the square

=

= 16

= 256

Problem 2: If the area of the square is given as  529 , then find length of its side.

Solution:

Area of the square = A = 529 

Side of the square = a =?

Then, the length of side is 23 cm.