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.

Hence, perimeter of a square = 4l

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

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.**

A square is a four sided figure in which

● all the four sides are equal (length = breadth)

● all the angles are equal to 90° (right angle)

**1 ^{st} method:**

Perimeter of a square PQRS

= side + side + side + side

= 5 cm + 5 cm + 5 cm + 5 cm

= 20 cm

**2 ^{nd} method:**

Perimeter of a square = 4 times side

= 4 × side

= 4 × 5 cm

= 20 cm

*Therefore,
Perimeter of a square = 4 × length of one side*

**Word Problems on Perimeter of a Square:**

Let us consider some of the 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

**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.

**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.

**Solution:**

The perimeter of the square

= 4 × side

= 4 × 4 cm

= 16 cm

**7.** The perimeter of a square is 20 cm. Find the length of
each side of the square.

**Solution:**

Perimeter of the square = 4 × side of the square

i.e. 4 side of the square = 20 cm

But we have 4 × 5 = 20 (Note: 20 × 4 = 5)

Therefore, side of the square = 5 cm

Questions and Answers on Perimeter of a Square:

**1. Find the perimeter of squares having sides as follows.**

(i) 8 cm

(ii) 6 cm

(iii) 10 cm

(iv) 12 cm

(v) 15 cm

**Answer:**

**1. ****(i) 32 cm**

**(ii) 24 cm**

**(iii) 40 cm**

**(iv) 48 cm**

**(v) 60 cm**

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

**Answer:**

**2.** 3
cm

**3.** A square has a perimeter of 24 cm. What is the length of
each side?

**Answer:**

**3.** 6 cm

**● ****Related Concepts**

**● ****To
Measure the Length of a Line-segment**

**● ****Examples
on Unit of Mass or Weight**

**● ****Units
for The Measurement of Capacity**

**● ****Examples
on Measurement of Capacity**

**● ****Antemeridian
(a.m.) or Postmeridian (p.m.)**

**● ****Calendar**

**● ****Reading
and Interpreting a Calendar**

**4th Grade Math Activities**

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