What is Perimeter of a square? How to Find Square Perimeter with Examples - BYJUS

# Perimeter of a Square

The  total length of all four sides of the square is called the perimeter of a square. We will learn how to calculate the perimeter of a square, its formula and some solved examples for better understanding....Read MoreRead Less

## What is Square

A square is a special case of a quadrilateral all of whose sides are equal, and each angle is 90°.

## Perimeter of square

We now know that the perimeter is the length of the boundary of any geometric shape. We discussed earlier that the square is made up of 4 equal sides, so the sum of all the four equal sides gives us its perimeter.

The formula for perimeter of a square is:

P = 4 $$\times$$ s

Where s is the length of one of the sides of the square.

The side and perimeter can be expressed in the following units:

millimeter(mm), centimeter(cm), meter(m), kilometer(km), inch(in), feet(ft), yard(yd), mile(mi) and so on.

## Solved Examples

Example 1: Find the perimeter of a square whose side length is 4 inch.

Solution:

P = 4 $$\times$$ s      Write the formula for perimeter of square

P = 4 $$\times$$ 4      Substitute 4 for s

P = 16

So, the perimeter of a square is 16 inches.

Example 2: Find the perimeter of a square desk whose edge length is 3 feet.

Solution:

P = 4 $$\times$$ s      Write the formula for perimeter of square

P = 4 $$\times$$ 3      Substitute 3 for s

P = 12

So, the perimeter of a square desk is 12 feet.

Example 3: The perimeter of a square shaped garden is 40 yards. Find the side length of the garden.

Solution:

P = 4 $$\times$$ s      Write the formula for perimeter of square

40 = 4 $$\times$$ s   Substitute 40 for P

$$\frac{40}{4}$$ = $$\frac{4\times s}{4}$$      Divide each side by 4

10 = s

So, the side length of the garden is 10 yards.

Example 4: Jacob walks a total of 3200 meters on a square shaped path around the park. If he covered the entire path while covering this distance, then what is the length of one of the sides of the path.

Solution:

Jacob, walking along the edges of the square shaped park, completes one round, which is the perimeter of the park.

As the  park is square shaped,

The perimeter of the park(P) = 4 length of one side of path(s)

3200 = 4 $$\times$$ s    Substitute 3200 for P

$$\frac{3200}{4}$$ = $$\frac{4\times s}{4}$$          Divide each by 4

800 = s

So, the length of one side of the path is 800 meters.

Example 5: James has a square plot with sides that are 50 feet in length. What is the boundary length of the plot? If fencing material costs $10 per foot, then find the costing of fencing the plot. Solution : Boundary length is equal to perimeter: P = 4 $$\times$$ s Write the formula for perimeter of square P = 4450 Substitute 50 for s P = 200 So, the length of his boundary is 200 feet. Now to find the cost of fencing we need to multiply the perimeter found by the rate of fencing. = 200 $$\times$$ 10 =$2000

Therefore the cost of fencing the square plot that James has is \$2000.

There are three types of parallelograms:

• Rectangle
• Rhombus
• Square

A square has four angles, each angle measuring 90°, but on the other hand, a rhombus does not.

Yes, all the properties of a rectangle are found in squares.

• Both are parallelograms.
• Both have sides that are equal in length.
• Diagonals are perpendicular bisectors in both of these geometric shapes.

Area of square = $$s^2$$, where s is the length of the side of the square.

Perimeter is a measure of distance, so all the units of distance are used as units to express perimeter. Such as millimeter(mm), centimeter(cm), meter(m), kilometer(km), inch(in), feet(ft), yard(yd), mile(mi) and so on.