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

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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.