Solved Examples and Worksheet for Finding Perimeter of Two Dimensional Figures

Q1What is the perimeter of a rectangle, if its length is 20 m and width is 14 m?

A. 34 m
B. 34 m2
C. 68 m2
D. 68 m

Solutions
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Step: 1
The perimeter of a rectangle with length l and width w = 2(l + w)
  [Formula for perimeter.]
Step: 2
= 2(20 + 14)
  [Substitute the values of length, l and width, w.]
Step: 3
= 2(34)
  [Add 20 and 14.]
Step: 4
= 68
  [Multiply 2 and 34.]
Step: 5
So, the perimeter of the rectangle is 68 m.
Correct Answer is :   68 m
Q2Find the perimeter of a rectangle whose sides are 13 cm and 10 cm.

A. 26 cm
B. 46 cm
C. 13 cm
D. 23 cm

Solutions
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Step: 1
A rectangle has opposite sides that are equal and parallel.
Step: 2
The two sides of a rectangle are 13 cm and 10 cm.
Step: 3
The sum of all the side-lengths of a polygon is called its perimeter.
Step: 4
Perimeter = 13 + 10 + 13 + 10
  [Substitute the values.]
Step: 5
= 46
  [Add.]
Step: 6
So, the perimeter of the rectangle is 46 cm.
Correct Answer is :   46 cm
Q3Find the perimeter of Paul's living room that is 24 feet wide and 27 feet long.

A. 51 sq.feet
B. 78 feet
C. 102 sq.feet
D. 102 feet

Solutions
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Step: 1
The perimeter of a polygon is the sum of all its side-lengths.
Step: 2
Paul's living room is in the shape of a rectangle.
Step: 3
The perimeter of a rectangle = 2 × (l + w), where l is the length and w is the width.
Step: 4
The perimeter of Paul's room = 2(24 + 27)
  [Substitute the values.]
Step: 5
= 2(51)
  [Add inside the grouping symbols.]
Step: 6
= 102
  [Multiply.]
Step: 7
The perimeter of Paul's living room is 102 feet.
Correct Answer is :   102 feet
Q4Find the perimeter of the square.


A. 25 units
B. 20 units
C. 20 square units
D. 25 square units

Solutions
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Step: 1
The perimeter of a square is the sum of all the sides of the square.
Step: 2
All the sides of a square are equal.
Step: 3
The side of the square is 5 units.
Step: 4
The perimeter of the square = 5 + 5 + 5 + 5
Step: 5
= 20
  [Add.]
Step: 6
The perimeter of the square is 20 units.
Correct Answer is :   20 units
Q5Laura wants to lay a rectangular flower garden 17 feet long and 11 feet wide. What would be its perimeter?
A. 56 feet
B. 66 feet
C. 50 feet
D. 46 feet

Solutions
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Step: 1
Perimeter of a rectangle = 2 × (l + w), where l is the length and w is the width.
Step: 2
Perimeter of a rectangular flower garden = 2(17 + 11)
  [Substitute the values.]
Step: 3
= 2 × 28 = 56
Step: 4
The perimeter of a rectangular flower garden is 56 feet.
Correct Answer is :   56 feet
Q6Find the perimeter of a table cloth that is 62 inches long and 43 inches wide.
A. 110 inches
B. 19 inches
C. 210 inches
D. 105 inches

Solutions
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Step: 1
Perimeter of a rectangle is the sum of the measures of all the sides.
Step: 2
= 62 + 43 + 62 + 43 = 210
  [Substitute and add.]
Step: 3
So, the perimeter of the table cloth is 210 inches.
Correct Answer is :   210 inches
Q7What is the perimeter of the rectangle?


A. 24 in.
B. 78 in2.
C. 48 in.

Solutions
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Step: 1
Length of the rectangle = 16 in. and the width of the rectangle = 8 in.
Step: 2
Perimeter of a rectangle = 2(length + width)
  [Formula.]
Step: 3
= 2(16 + 8)
  [Substitute the values.]
Step: 4
= 2(24)
  [Add.]
Step: 5
= 48 in.
  [Multiply.]
Step: 6
Perimeter of the rectangle is 48 in.
Correct Answer is :   48 in.
Q8What is the perimeter of the rectangle?


A. 32 m
B. 56 m
C. 19 m
D. 78 m

Solutions
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Step: 1
The perimeter of a rectangle is the sum of the lengths of its 4 sides.
Step: 2
Since a rectangle has 4 sides, and the opposite sides of a rectangle have the same length, a rectangle has 2 sides of length 18 m, and 2 sides of length 10 m.
Step: 3
Perimeter of the rectangle = 18 m + 18 m + 10 m + 10 m = 56 m
Step: 4
So, the perimeter of the rectrangle is 56 m.
Correct Answer is :   56 m
Q9Find the perimeter of a table cloth that is 62 cm long and 43 cm wide.
A. 210 cm
B. 105 cm
C. 148 cm
D. 167 cm

Solutions
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Step: 1
Perimeter of a rectangle is the sum of the measures of all the sides.
Step: 2
The perimeter of the table cloth (that is rectangular in shape) = 62 + 43 + 62 + 43 = 210
  [Substitute and add.]
Step: 3
So, the perimeter of the table cloth is 210 cm.
Correct Answer is :   210 cm
Q10What is the perimeter of the rectangle shown ?

A. 35 cm
B. 24 cm
C. 14 cm
D. 12 cm

Solutions
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Step: 1
The sum of all the sides of a figure is called the perimeter of the figure.
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 = 7 + 5 + 7 + 5 = 24
  [Add the lengths of the sides of the figure.]
Step: 4
So, perimeter of the given figure is 24 cm.
Correct Answer is :   24 cm
Q11A rectangular garden is 48 m long and 40 m wide. What is its perimeter ?

A. 124 m
B. 234 m
C. 176 m
D. 85 m

Solutions
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Step: 1
The perimeter of the garden can be found by adding the lengths of the sides.
Step: 2
Perimeter of the garden = 40 m + 48 m + 40 m + 48 m = 176 m
Step: 3
Therefore, the perimeter of the rectangular garden is 176 m.
Correct Answer is :   176 m

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