The Perimeter of a Square is the length that the boundary covers. You can obtain the Perimeter of a Square by adding all the sides together. Refer to the entire article and learn about Perimeter of a Square Definition, Formula, Derivation, Solved Examples, etc.

A Square is a type of rectangle in which the adjacent sides are equal. In other words, we can frame the Definition as Square has all sides of equal length. Refer to the Properties of Square here along with Solved Example Questions in the later sections.

(i) All the angles in a square are the same and equal 90º.

(ii) All the sides of a square are equal.

## What is the Perimeter of a Square?

The Perimeter of any closed geometrical shape is defined as the distance around the object. Usually, the Perimeter of a Square is found by summing all four sides together. Since the square has equal sides thus perimeter will be 4 times the side i.e., 4*Side

The Formula for Perimeter of a Square(P) = 4 × Side

### Derivation of Perimeter of a Square

The Perimeter of a Square is defined as the length of the boundary of the object.

The Formula to Calculate the Perimeter of a Square = Sum of Lengths of all 4 Sides

Here Length of Each Side = a units

Perimeter = Side +Side + Side+Side

= a+a+a+a

= 4a units

where a, is the length of a side of square.

### Solved Perimeter of Square Questions

Question 1.

Find the Perimeter of a Square whose side is 4 cm?

Solution:

We know the formula to calculate Perimeter of a Square = 4*Side

Given Length of the Side = 4 cm

Substitute the Side Length in the formula of Perimeter

Perimeter of a Square = 4*4

= 16 cm

Therefore, the Perimeter of a Square is 16 cm.

Question 2.

Calculate the Perimeter of a Square if its Side is 12cm?

Solution:

The formula for Perimeter of a Square = 4*Side

Given Length of the Side = 12 cm

Substitute the Side Length in the Formula of Perimeter we have

Perimeter of a Square = 4*12 cm

= 48 cm

Therefore, the Perimeter of a Square is 48 cm.

Question 3.

If the Perimeter of a Square is 84 cm find its Side?

Solution:

Perimeter of a Square = 84 cm

The Formula for Perimeter of a Square =4*Side

4*Side = 84 cm

Side = 84/4

= 21 cm

Therefore, the Length of the Side is 21 cm.

### FAQs on Perimeter of a Square

**1. What is the Perimeter of a Square?**

Perimeter of a Square is the total length of the boundary of squares.

**2. How to find the Perimeter of a Square?**

To find the Perimeter of a Square add all the sides. There are 4 Sides in a Square and Sum of all 4 Sides gives the Perimeter.

**3. What is the Formula for Perimeter of a Square?**

The Formula for Perimeter of a Square is P = Side+Side+Side+Side i.e. 4*Side