# How to Calculate Area of Square (Examples With Solution)

## What is the formula of the Area of Square?

Are of Square (A) = a^{2}

a = sides of the square.

* Important to know: *all sides of a square will always be the same. For example if a Side is mentioned as 6cm that means the rest of the 3 Sides will also be 6cm.

## Area of Square: Solved Examples-

## Finding the Area of a Square *When the Side is known*

**Question:- **The side of a PQRS square is 15cm. Find the Area of the square.

### Answer:

We already know, a = 15cm

Area of Square (A) = a^{2}

=> A = 15^{2}

=> A = 225cm^{2}

So Area of Square = 225cm^{2}

## Finding the Area of a Square *With the help of Perimeter only*

**Question:** The Perimeter of a Square is 88cm. Fine the Are of a Square.

**Answer: **

Side of Square (a) = P/4

=> a = 88/4

=> a = 22cm

So, Side of the Square = 22cm

Area of the Square = a^{2}

= 22^{2}

= 484cm^{2}

So, Area of the Square = 484cm^{2}

## Finding the Area of a Square *With the help of Diagonals’ Length only*

**Question:** The Diagonal Length of a Square is 16cm, please find the Are of the Square.

**Answer:**