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
From Perimeter of a Square to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Mar 02, 24 05:31 PM
Mar 02, 24 04:36 PM
Mar 02, 24 03:32 PM
Mar 01, 24 01:42 PM
Feb 29, 24 05:12 PM
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.