Perimeter of a Square

We will discuss here how to find the perimeter of a square. Perimeter of a square is the total length (distance) of the boundary of a square.

In a square all the sides are of equal lengths.

$Perimeter of a Square$

Hence, perimeter of a square = 4l

We know that all the sides of a square are equal.

$Perimeter of a Square$

Perimeter of the square ABCD

= AB + BC + CD + AD

= 2 cm + 2 cm + 2 cm + 2 cm

= (2 × 4) cm

= 8 cm

Perimeter of a square is 4 times of s side.

Perimeter of a square = 4 × length of a side.

Let us consider some of the examples on perimeter of a square:

$Examples on Perimeter of a Square$

1. Each side of a square is 2.5 cm. Find its perimeter.

Solution:

Side = 2.5 cm

Therefore, perimeter of a square = 4 × length of a side

= (4 × 2.5) cm

= 10 cm

2. A rope of length 96 m was used to fence a square garden. What is the length of the side of the garden?

Solution:

Perimeter of the garden = Length of the rope = 96 m

We know that perimeter of a square = 4 × length of a side

So, 4 × length of a side = 96 m

Length of a side = $\frac{96}{4}$ m = 24 m

Therefore, length of the one side of the square shape garden is 24 m.

3. Find the perimeter of a square shaped playground whose each side length 12 m.

Solution:

We know a square has four equal sides. So, we can easily calculate the perimeter of a square.

The formula for finding the perimeter of a square is:

P = 4 × length of a side

= 4 × 12 m

= 48 m

$Perimeter of a Square$

4. Each sides of a paper sheet is 14 ft. Find its perimeter.

Solution:

Given: Side length is 14 ft.

Perimeter of a square is = 4 × side

= 4 × 14 ft

= 56 ft

5. Find the perimeter of the square PQRS whose one side is 10.5 m.

$Perimeter of a Square Problems$

Solution:

Side of the square = 10.5 m

Perimeter of the square = 4 × side

= 4 × 10.5

= 42 m

6. Find the perimeter of the square PQRS whose one side is 4 cm.

$Perimeter of Square$

Solution:

The perimeter of the square

= 4 × side

= 4 × 4 cm

= 16 cm

Questions and Answers on Perimeter of a Square:

1. The perimeter of a square photo frame is 12 cm. What is the length of its side?

Answer:

3 cm

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