 # Worksheet on Perimeter | Free Printable Perimeter Worksheets with Answers

Perimeter is the distance around the edge of the shape. To find the perimeter of the shape you have to find the sum of the lengths. Worksheet on Perimeter will help the students to score better grades in the exams. Practice the questions given in the Worksheet on Perimeter for better understanding. This article helps you to find the perimeter of rectangle, square, triangle, etc. Get free access to practice the problems on Perimeter from this page.

## Perimeter Formula for Different Shapes

The perimeter formulas help your child to learn how to find the perimeter of different 2D shapes.
Perimeter of Rectangle:
P = 2L + 2W
Perimeter of Square:
P = 4s
Perimeter of Triangle:
P = a + b + c
Make use of the above perimeter formulas to find the perimeter of 2D geometric figures.

### Perimeter Worksheets Pdf

Question 1.
Find the perimeter of the rectangle whose length is 14cm and breadth is 10 cm.

Solution:

Given,
Length of the rectangle = 14 cm
The breadth of the rectangle = 10 cm
We know that,
The perimeter of the rectangle = L + L + W + W
P = 14cm + 14cm + 10cm + 10cm
P = 2(14cm + 10cm)
P = 2(24 cm)
P = 48 cm
Therefore the perimeter of the rectangle is 48 centimeters.

Question 2.
The length of a rectangular garden is 134 meters and the width of the garden is 112 meters. What is the perimeter of the rectangular garden?

Solution:

Given,
The length of a rectangular garden is 134 meters.
The width of the garden is 112 meters.
We know that,
The perimeter of the rectangle = L + L + W + W
P = 134 meters + 134 meters + 112 meters + 112 meters
P = 2(134 meters + 112 meters)
P = 2(246 meters)
P = 492 meters
Thus the perimeter of the rectangular garden is 492 meters.

Question 3.
The perimeter of a rectangle is 64 centimeters. The length is 16 centimeters. What is the breadth?

Solution:

Given,
The perimeter of a rectangle is 64 centimeters.
The length is 16 centimeters.
Here we have to find the breadth of the rectangle.
We know that,
The perimeter of the rectangle = L + L + W + W
64 cm = 16cm + 16cm + W + W
64 cm = 32 cm + 2W
2W = 64cm – 32cm
2W = 32cm
W = 32/2
W = 16
Thus the width or breadth of the rectangle is 16 centimeters.

Question 4.
The perimeter of the rectangle has dimensions length of 14 km and a breadth of 8 km. What is the perimeter?

Solution:

Given,
The perimeter of the rectangle has dimensions
length of 14 km and
We know that,
The perimeter of the rectangle = L + L + W + W
P = 14km + 14km + 8km + 8km
P = 2(14km + 16km)
P = 2(30 km)
P = 60km
Thus the perimeter of the rectangle is 60 kilometers.

Question 5.
Find the length of the rectangle whose width is 16 cm and perimeter is 126 cm.

Solution:

Given,
Perimeter of the rectangle = 126cm
width is 16 cm
We know that,
The perimeter of the rectangle = L + L + W + W
P = 2L + 2W
126cm = 2L + 2(16cm)
126cm = 2L + 32cm
126cm – 32cm = 2L
94cm = 2L
2L = 94cm
L = 94/2
L = 47cm
Thus the length of the rectangle is 47 cm

Question 6.
Find the perimeter of the rectangle having the following sides.
i. length = 8 cm and breadth = 6 cm
ii. Length = 4 m and breadth = 2 m
iii. Length = 26 cm and width = 18 cm.

Solution:

i. length = 8 cm and breadth = 6 cm
Given,
length = 8 cm
We know that,
The perimeter of the rectangle = L + L + W + W
P = 2L + 2W
P = 2(8) + 2(6)
P = 16cm + 12cm
P = 28cm
Thus the perimeter of the rectangle is 28cm.

ii. Length = 4 m and breadth = 2 m
Given,
length = 4m
We know that,
The perimeter of the rectangle = L + L + W + W
P = 2L + 2W
P = 2(4) + 2(2)
P = 8m + 4m
P = 12m
Thus the perimeter of the rectangle is 12m.

iii. Length = 26 cm and width = 18 cm.
Given,
length = 26 cm
We know that,
The perimeter of the rectangle = L + L + W + W
P = 2L + 2W
P = 2(26) + 2(18)
P = 52cm + 36cm
P = 88cm
Thus the perimeter of the rectangle is 88cm.

Question 7.
What is the perimeter of the square if the side is 16 cm?

Solution:

Given,
Side = 16 cm
We know that the Perimeter of Square
P = sum of the sides
P = 4s
P = 4 × 16cm
P = 64cm
Thus the perimeter of the square is 64 cm.

Question 8.
Find the perimeter of a square for the following sides.
i. 8 m
ii. 12 m
iii. 4 centimeters

Solution:

i. 8 m
Given, side of the square = 8 meters
We know that the Perimeter of Square
P = sum of the sides
P = 4s
P = 4 × 8 = 32 meters
Therefore, the perimeter of the square is 32 meters.

ii. 12 m
Given, side of the square = 12 meters
We know that the Perimeter of Square
P = sum of the sides
P = 4s
P = 4 × 12 = 48 meters
Therefore, the perimeter of the square is 48 meters.

iii. 4 centimeters
Given, side of the square = 4 cm
We know that the Perimeter of Square
P = sum of the sides
P = 4s
P = 4 × 4cm = 16 cm
Therefore, the perimeter of the square is 16cm.

Question 9.
Find the length of the squares if the perimeter of the square is 64 cm.

Solution:

Given,
Perimeter of the square is 64 cm
We know that the Perimeter of Square
P = sum of the sides
P = 4s
64cm = 4s
s = 64/4
s = 16 cm
Thus the length of the square is 16 cm.

Question 10.
Find the perimeter for the following lengths of the squares.
i. 14 cm
ii. 28 m
iii. 12 cm

Solution:

i. 14 cm
Given, side of the square = 14 cm
We know that the Perimeter of Square
P = sum of the sides
P = 4s
P = 4 × 14cm = 56 cm
Therefore, the perimeter of the square is 56cm.

ii. 28 m
Given, side of the square = 28m
We know that the Perimeter of Square
P = sum of the sides
P = 4s
P = 4 × 28m = 112 m
Therefore, the perimeter of the square is 112 m.

iii. 12 cm
Given, side of the square = 12 cm
We know that the Perimeter of Square
P = sum of the sides
P = 4s
P = 4 × 12cm = 48 cm
Therefore, the perimeter of the square is 48 cm.

Question 11.
Find the perimeter of the given figure. Solution:

The above figure is a square.
Sides = 7 inches
We know that the Perimeter of Square
P = sum of the sides
P = 4s
P = 4 × 7 in = 28 in.
Therefore, the perimeter of the square is 28 inches.

Question 12.
Find the perimeter of the below figure. Solution:

The above figure is a rectangle.
Length = 13cm
Width = 5cm
We know that,
The perimeter of the rectangle = L + L + W + W
P = 13 cm + 13cm + 5cm + 5cm
P = 2(13cm) + 2(5cm)
P = 26cm + 10cm
P = 36cm
Thus the perimeter of the rectangle is 36cm.

Question 13.
Find the perimeter of the below figure. Solution:

a = 5in
b = 5in
c = 4 in
Perimeter of the triangle = a + b + c
P = 5 in. + 5 in. + 4 in.
P = 14 in.
Thus the perimeter of the triangle is 14 inches.

Question 14.
Find the perimeter of the below figure. Solution:

Given,
a = 4m
b = 4m
c = 7m
We know that,
Perimeter of the right triangle is
Perimeter = b + p +√b² + p²
P = 13.66 meters

Question 15.
Find the perimeter of a triangle whose sides are 11cm, 13cm and 15cm.

Solution:

Given,
The sides of the triangle are 11cm, 13cm and 15cm.
a = 11cm
b = 13cm
c = 15cm
We know that,
Perimeter of the triangle = a + b + c
P = 11cm + 13cm + 15cm
P = 39 cm
Thus the perimeter of the triangle is 39 centimeters.

Question 16.
Find the perimeter of a triangle whose sides are 5m, 7m and 8m.

Solution:

Given,
The sides of the triangle are 5m, 7m and 8m.
a = 5m
b = 7m
c = 8m
We know that,
Perimeter of the triangle = a + b + c
P = 5m + 7m + 8m
P = 20m
Thus the perimeter of the triangle is 20 meters.

Question 17.
Find the perimeter of an isosceles triangle whose two equal sides are 12 cm and the third side is 16 cm.

Solution:

Given
a = 12cm
c = 16 cm
We know that,
Perimeter of the triangle = a + b + c
P = 2a + c
P = 2(12 cm) + 16cm
P = 24cm + 16cm
P = 40cm
Thus the perimeter of an isosceles triangle is 40cm.

Question 18.
Find the perimeter of the triangles having the following sides.
i. 3cm, 7cm and 9 cm
ii. 13cm , 14cm and 15 cm
iii. 12cm, 12cm and 12 cm

Solution:

i. 3cm, 7cm and 9 cm
Given,
The sides of the triangle are 3cm, 7cm and 9 cm
a = 3cm
b = 7cm
c = 9cm
We know that,
Perimeter of the triangle = a + b + c
P = 3cm + 7cm + 9cm
P = 19cm
Thus the perimeter of the triangle is 19cm.

ii. 13cm , 14cm and 15 cm
Given,
The sides of the triangle are 13cm, 14cm and 15 cm
a = 13cm
b = 14cm
c = 15cm
We know that,
Perimeter of the triangle = a + b + c
P = 13cm + 14cm + 15cm
P = 42cm
Thus the perimeter of the triangle is 42 centimeters.

iii. 12cm, 12cm and 12 cm
Given,
The sides of the triangle are 12cm, 12cm and 12 cm
a = 12cm
b = 12cm
c = 12cm
We know that,
Perimeter of the triangle = a + b + c
P = 12cm + 12cm + 12cm
P = 36 cm
Thus the perimeter of the triangle is 36 centimeters.

Question 19.
The perimeter of the triangle is 121 cm. The sides of the triangle are 15cm, 27cm find the third side.

Solution:

Given,
The perimeter of the triangle is 121 cm.
The sides of the triangle are 15cm, 27cm.
a = 15 cm
b = 27 cm
We know that,
Perimeter of the triangle = a + b + c
121 cm = 15cm + 27cm + c
121cm – 42cm = c
c = 79 cm
Thus the third side is 79cm.

Question 20.
Find the perimeter of an equilateral triangle whose side is 17 centimeters.

Solution:

Given that,
a = 17 centimeters
We know that,
Perimeter of the triangle = a + b + c
In case of equilateral triangle the perimeter is 3a
P = 3a
P = 3(17)
P = 51 cm
Thus the perimeter of an equilateral triangle is 51 cm.

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