The perimeter of a square is defined as the total length that its boundary covers. The perimeter of any closed geometrical object is calculated by finding the distance around that object. For a square, the perimeter can be calculated by finding the sum of all the sides. Let us have a look at the article in order to understand the concept in a better way.

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 1 What is the Perimeter of Square? 2 Derivation of Perimeter of Square Formula 3 How to Calculate Perimeter of a Square 4 FAQs on Perimeter of Square

## What is the Perimeter of Square?

A perimeter of any shape is either a path that encompasses/surrounds/outlines a shape (in two dimensions) or its length (one-dimensional). The perimeter of a square can be calculated by adding the length of all its sides.

### Perimeter of Square Formula

The formula to calculate the perimeter of a square is as, mathematically expressed as;Perimeter of square, (P) = 4 × Side Example: Calculate the perimeter of a square with each side measuring 7 units.

Solution: Given: Side length of square = 7 unitsWe know, using the perimeter of a square formula,

Perimeter of square = 4 × Side⇒ 4 × 7 = 28 units

## Derivation of Perimeter of Square Formula

The perimeter of the square is defined as the total length of the boundary of a square. In order to calculate the perimeter of the square, we will find the sum of all of its sides. Since, all the sides of a square are equal, for a square, with each side measuring "s" units, perimeter will thus be given as,

Perimeter of square = s + s + s + s⇒ Perimeter of square = 4s, where "s" is the side length of the square.

## How to Calculate Perimeter of a Square?

The perimeter of the square can be calculated following different methods depending upon the known parameters. This section will cover the method using,

Side lengthDiagonalArea

### Perimeter of Square Using Side Length

We generally find the perimeter for this case by multiplication of side length with 4.To find the perimeter of a square using the side length, we can follow the steps given below,

Step 1: Note down the measurement of the side.Step 2: Multiply the noted length with 4.Step 3: Express the obtained result with the unit.

### Perimeter of Square Using Diagonal

The perimeter of the square can also be calculated if the length of its diagonal is known to us. To find the perimeter of a square using the diagonal, we can follow the steps given below,

Step 1: Note down the measurement of the diagonal of the square.Step 2: Calculate the side length using the diagonal,Side = diagonal/√2 = √2 × diagonal/ 2Step 3: Multiply this obtained value of side length, (√2 × diagonal/ 2) by 4 and express the answer in units,Perimeter = (√2 × diagonal/2) × 4 = 2√2 × diagonal units.

### Perimeter of Square Using Area of Square

We can find the perimeter of the square given the area. To find the perimeter of a square using the area, we can follow the steps given below,

Step 2: Calculate the side length using the area,Side = √areaStep 3: Multiply this obtained value of side length, (√area) by 4 and express the answer in units,Perimeter = (√area) × 4 = 4√area units.

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Let us have a look at a few solved examples to understand the perimeter of the square better.