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.


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)

Perimeter of a Square

1st method:

Perimeter of a square PQRS

                  = side + side + side + side

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

                  = 20 cm


2nd 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:

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


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

Units for Measuring Length

Measuring Instruments

To Measure the Length of a Line-segment

Perimeter of a Figure

Perimeter of a Triangle

Perimeter of a Rectangle

Perimeter of a Square

Unit of Mass or Weight

Examples on Unit of Mass or Weight

Units for The Measurement of Capacity

Examples on Measurement of Capacity

Measurement of Time

Read a Watch or a Clock

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

What Time it is?

Time in Hours and Minutes

24 Hour Clock

Units of Time

Examples Units of Time

Time Duration

Calendar

Reading and Interpreting a Calendar

Calendar Guides us to Know




4th Grade Math Activities

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