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Perimeter of Square
The perimeter of a square is defined as the total length that its boundary covers. The perimeter of any closed geometrical shape is calculated by finding the distance around that shape. For a square, the perimeter can be calculated by finding the sum of all the sides. Since all four sides are equal, it is four times the length of each side of a square. Let us learn about perimeter of square in detail in this article.
1.  What is the Perimeter of Square? 
2.  Derivation of Perimeter of Square Formula 
3.  How to Find Perimeter of a Square? 
4.  FAQs on Perimeter of Square 
What is the Perimeter of Square?
The perimeter of any shape is either a path that encompasses/surrounds/outlines a shape (in two dimensions) or its length (onedimensional). 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 can be 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 units.
We 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 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 Find 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 length
 Diagonal
 Area
Perimeter of Square Using Side Length
In this case, we generally find the perimeter 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 appropriate 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/ 2  Step 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 1: Note down the area of square.
 Step 2: Calculate the side length using the area.
Side = √area  Step 3: Multiply this obtained value of side length, (√area) by 4 and express the answer in units.
Perimeter = (√area) × 4 = 4√area units.
Let us have a look at a few solved examples to understand the perimeter of the square better.
Perimeter of Square Examples

Example 1: If the perimeter of a square is 64 units, find its side.
Solution:
Given: Perimeter of square = 64 units.
Using the perimeter of a square formula,
Perimeter = (4 × side) units
Substituting the value of perimeter, we get,
64 = 4 × side
⇒ Side = 64/4 = 16 unitsAnswer: The side length of the given square measures 16 units.

Example 2: The area of a square is given as 225 square units. Using the perimeter of a square formula, calculate its perimeter.
Solution:
Given: Area of square = 225 square units.
We know, area of a square = (side)^{2} square units
⇒ 225 = (side)^{2}
⇒ side = √225 = 15 unitsNow, using perimeter of a square formula,
Perimeter, P = 4 × side units
⇒ P = 4 × 15 = 60 unitsAnswer: The perimeter of the given square = 60 units.

Example 3: If the diagonal of a square measures 3√2 inches, what will be the perimeter of square?
Solution:
Given: Diagonal of square = 3√2 inches.
As we know that in terms of diagonal, the perimeter of square formula is P = (2√2 × diagonal) units.
⇒ P = (2√2 × 3√2) inches
P = 6 × 2 inches
p = 12 inchesAnswer: The perimeter of the given square = 12 inches.
FAQs on Perimeter of Square
What is Perimeter of Square in Math?
The perimeter of a square in math is the total length around its boundary. The perimeter formula for square is expressed as the sum of all the sides. It is represented as P = 4 × side units.
☛Also Check:
What is the Formula of Perimeter of Square?
The perimeter of a square is defined as the length that its boundary covers. The formula to calculate the perimeter of a square is given as: P = 4 × side.
How to Calculate Perimeter of Square?
The perimeter of a square can be calculated by finding the total sum of all its sides. Since, the measure of all the sides of a square is equal, to calculate the perimeter of a square we can simply multiply 4 with its side length.
What is the Area and Perimeter of Square?
The area of a square is the space occupied within the boundary of the square. It is calculated by using the formula: Area = (side × side) square units. On the other hand, the perimeter of square is the total length of its boundary. It can be found by adding all four sides of the square or by multiplying any one side by 4. The formula to find perimeter of a square is (4 × side) units.
How to Find the Side Length of a Square When the Perimeter is Given?
The perimeter of a square is given as, P = 4 × side. On rearranging the above formula to calculate the side length of the square when the perimeter is given, we get, side = P/4. Therefore, the side length of a square can be calculated by dividing the given perimeter by 4.
How to Find Perimeter of Square When Area is Given?
The area of a square can be calculated using the formula, area = side × side. On rearranging this formula to calculate the side length of the square using the area, we get, side = √area. Since the perimeter of a square is given as: 4 × side, we can calculate the perimeter of a square when the area is given using the formula: 4√area.
What is the Unit of Perimeter of Square?
The perimeter of a square is the total distance around its boundary, or the lengths of its sides added together. Perimeter (P) is measured in units such as inches(in), yards(yd), millimeters(mm), centimeters(cm), meters(m), etc.
How to Use the Perimeter of Square Calculator?
Perimeter of square calculator is used to do fast calculations and get the desired answer of the perimeter of square quickly. To calculate the perimeter of a square using a calculator we need to enter certain specific parameters such as the side length of a square. Try Cuemath's perimeter of square calculator now and get your answers in a click.
☛ Check now perimeter of squares worksheets for more practice.
How to Find Perimeter of Square When Diagonal is Given?
The diagonal of a square is given as, √2 × side. Rearranging this formula to calculate the side of the square, we get, side = diagonal/√2 = (√2 × diagonal)/2 . Thus, the perimeter of the square can be calculated using the formula, P = 2√2 × diagonal.
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