#### Solved Examples and Worksheet for Perimeter of Polygons

Q1Find the perimeter of the triangle ABC. A. 14 cm
B. 10 cm
C. 12 cm
D. 20 cm

Step: 1
The perimeter of a triangle is the sum of all the lengths of the sides of the triangle.
Step: 2
From the figure, the lengths of the sides are 4 cm, 5 cm and 3 cm.
Step: 3
The perimeter of the triangle ABC = 4 + 5 + 3 = 12 cm
Correct Answer is :   12 cm
Q2Find the perimeter of the figure shown. A. 58 units
B. 68 units
C. 58 square units
D. 54 units

Step: 1
The perimeter of a figure is the sum of all the sides of the figure.
Step: 2
The sides of the polygon are 15, 13, 10, 10, and 10 units.
Step: 3
Perimeter = 15 +13 +10 +10 +10
[Substitute the values.]
Step: 4
= 58
Step: 5
The perimeter of the figure is 58 units.
Correct Answer is :   58 units
Q3What is the perimeter? A. 12 inches
B. 7 inches
C. 17 inches
D. 15 inches

Step: 1
Side lengths of the given triangle are 5 inches, 5 inches, and 3 inches.
Step: 2
Perimeter of the given triangle is sum of all side lengths of the triangle.
Step: 3
Perimeter = 5 + 5+ 7 = 17.
Step: 4
So, perimeter of the given triangle is 17 inches.
Correct Answer is :   17 inches
Q4What is the perimeter? A. 11 inches
B. 12 inches
C. 10 inches
D. 14 inches

Step: 1
Step: 2
Side lengths of the given quadrilateral are 1 inch, 2 inches, 3 inches and 5 inches.
Step: 3
Perimeter of a shape is sum of all side lengths of the shape.
Step: 4
Perimeter = 1 + 2 + 3 + 5 = 11.
Step: 5
So, perimeter of the given quadrilateral is 11 inches.
Correct Answer is :   11 inches
Q5Find the perimeter of the polygon. A. 21 m
B. 19 m
C. 20 m
D. 18 m

Step: 1
The sum of the lengths of all sides of a polygon is called the perimeter of the polygon.
Step: 2
The lengths of the sides of the polygon are 1 m, 6 m, 8 m, and 4 m.
Step: 3
Perimeter of the polygon = 1 + 6 + 8 + 4 = 19 m
Step: 4
So, the perimeter of the polygon is 19 m.
Correct Answer is :   19 m
Q6What is the perimeter of the triangle shown? A. 42 cm
B. 37 cm
C. 29 cm
D. 35 cm

Step: 1
Side measures of the triangle are 15 cm, 14 cm and 8 cm.
Step: 2
Perimeter of a triangle = Sum of the measures of all the sides.
[Formula.]
Step: 3
= 15 + 14 + 8
[Substitue the values.]
Step: 4
= 37 cm.
Step: 5
Perimeter of the triangle is 37 cm.
Correct Answer is :   37 cm
Q7What is the perimeter? A. 15 inches
B. 9 inches
C. 18 inches

Step: 1
The sum of all the sides of a polygon is called the perimeter of the polygon.
Step: 2
Perimeter of the figure = sum of the measures of all the four sides.
[The given figure has four sides.]
Step: 3
Perimeter of the figure = 3 + 6 + 3 + 6 = 18.
[Add the lengths of the sides of the figure.]
Step: 4
So, perimeter of the given figure is18 inches.
Correct Answer is :   18 inches
Q8Find the perimeter of the figure shown. A. 32 in.
B. 28 sq. in.
C. 28 in.

Step: 1
Perimeter of the figure = sum of the measures of all the sides
[Formula.]
Step: 2
= 4 + 4 + 4 + 8 + 8
[Substitute.]
Step: 3
= 28 in.
Step: 4
So, the perimeter of the figure is 28 in.
Correct Answer is :   28 in.
Q9Leela wants to lay a rectangular flower garden that is 35 m long and 21 m wide. What would be its perimeter?
A. 112 m
B. 56 m
C. 91 m
D. 77 m

Step: 1
Perimeter of a rectangle is the sum of the measures of all the sides.
Step: 2
Perimeter of the rectangular flower garden = 35 + 21 + 35 + 21
Step: 3
= 112 m
Step: 4
So, the perimeter of the rectangular flower garden is 112 m.
Correct Answer is :   112 m
Q10A cinema screen is 21 m long and 13 m wide. What is its perimeter ? A. 68 m
B. 62 m
C. 34 m
D. 72 m

Step: 1
The perimeter of the cinema screen is the sum of the length of its sides.
Step: 2
Perimeter of the screen = 13 m + 21 m + 13 m + 21 m = 68 m.
Step: 3
Therefore, the perimeter of the cinema screen is 68 m.
Correct Answer is :   68 m
Q11Find the perimeter of a table cloth that is 74 inches long and 56 inches wide.

A. 190 inches
B. 145 inches
C. 260 inches
D. 210 inches

Step: 1
Perimeter of a rectangle is the sum of the measures of all the sides
Step: 2
= 74 + 56 + 74 + 56 = 260
Step: 3
So, the perimeter of the table cloth is 260 inches.
Correct Answer is :   260 inches
Q12What is the perimeter of a rug that is 7 yards in length and 4 yards in width?

A. 17 yards
B. 23 yards
C. 22 yards
D. 19 yards

Step: 1
Perimeter of a rectangle is the sum of the measures of all the sides.
Step: 2
= 7 + 4 + 7 + 4 = 22