The perimeter of a square is the length that its boundary covers. The perimeter of a square is obtained by adding all the sides together. Here, the concepts about the perimeter of the square, formula and derivation along with solved example questions are covered.

## What is the Perimeter of a Square?

The perimeter of any closed geometrical object is defined as the distance around that object. For a square, the perimeter is calculated by adding its four sides. We know that all the sides of a square are equal and hence, its perimeter will be 4 times its side, i.e. 4 × Side.

## The formula for Perimeter of a Square

Perimeter of Square (P) = 4 × Side |

### Derivation of a Square’s Perimeter

The perimeter of the square is defined as the length of the boundary of a square.

The Perimeter of the square formula is given by,

Perimeter = Sum of the lengths of 4 sides

= side + side + side + side

= 4 × side

Therefore, the **perimeter of Square = 4s units**

Where, s = Length of a side of the square

### Read More:

**Below is a brief recall about a square and its area.**

**What is Square?**

A square is a quadrilateral in which it has 4 equal sides and all the interior angles of a square are right angles. It is a closed two-dimensional plane figure.

## Area of Square

The area of a square is defined as the space occupied by the two-dimensional figure called square and the area of the square formula is given as

Area = width × height

Since width and height are the same, the formula is usually written as:

**Area of a Square = Side × side = side² square units**

where “s” is the length of one side.

### Does Square have Surface Area?

People sometimes confuse the area of a square with the surface area. The surface area is, however for three dimensional figures such as a cube where there is more than one surface are involved and not for the planar shapes such as a square, which has only one surface.

Thus, to calculate the surface area of the square, one must follow the same method as to compute the area of the square.

### Solved Problems Using Perimeter of Square Concept

**Question 1: **Find the perimeter of a square whose side is 5 cm.

**Solution:**

Given:

Side, s = 5 cm

The formula to find the perimeter of a square is given by:

**The perimeter of Square = 4s units**

Substitute the value of ‘s’ in the perimeter formula,

P= 4 × 5 cm

P = 20 cm

Therefore, the **perimeter of square = 20 cm**

**Question 2: **Calculate the perimeter of a square having a side of 16 cm.

**Solution:**

Given,

Side of the square = a = 16 cm

Perimeter of a Square = 4a

= 4 × 16

= 64 cm

**Question 3: **If the perimeter of a square is 92 cm, find its side.

**Solution:**

Perimeter = 4 × side

Or, Side of Square = ¼ × perimeter

So, side of the square = 92/4 = 23 cm

## Frequently Asked Questions

### What is the Perimeter and Area of a Square?

The perimeter of a square is defined as the total distance around the outside of the square. So, it can be said that a square’s perimeter is its total boundary.

The area of a square is the region that the square covers in a two-dimensional space. The area of a square can also be defined as the number of square units it takes to fill the square.

### How to Find the Perimeter of a Square?

To calculate the perimeter of a square, add all the sides of it. There are 4 sides of a square which are all equal in length. The sum of the sides will give its perimeter.

### What is the Formula for the Perimeter of a Square?

The formula for the perimeter of a square is, P = Side + Side + Side + Side

Or, P = 4 × Side

This app helped me

what is the area and perimeter of a square 10cm and 6cm?

Area of square (with side-length 10 cm) = 10^2 = 100 sq.cm.

Perimeter of square (with side-length 10 cm) = 4 x 10 = 40 cm

Area of square (with side-length 6cm) = 6^2 = 36 sq.cm.

Perimeter of square (with side-length 6cm) = 4 x 6 = 24 cm

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