Square Area Formula


The area of a square is the space occupied by the square.

Look at the green square shown below.

It has occupied 25 square units.

Square Area Formula

Therefore, the area of the square is 25 square units.

What is the Square Area Formula?

The area of a square is the product of its sides.

The formula for the area of a square with side 's' is:
Area of a Square = side x side = side2

When the diagonal d of the square is known, the formula for finding the area of the square is:
Area of a Square = d2/2

 

Solved Examples Using Square Area Formula

Example 1: 

What is the area of a square swimming pool of sides 8 ft each?

Solution:     

We know, that the area of a square = side2

Therefore, the area of the swimming pool is: 8 x 8 = 64 sq. ft

Answer: The area of the swimming pool is 64 sq. ft

 

Example 2: 

The area of a square carrom board is 3600 sq. in. What is the length of its sides?

Solution:     

Area of a square = side2

Area of the square carrom board = 3600 sq. in.

We know that 60 x 60 gives 3600                                                                                                                                                                                           

Answer: Side of the carrom board = 60 in.

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