Worksheet on Perimeter of Various Shapes

Solved Questions on Perimeter of Various Shapes

1. What are the lengths of the sides of an equilateral triangular flower orchard whose perimeter is 105 metres?

a) 25 m
b) 35 m
c) 45 m
d) 55 m

Answer: b) 35 m

Explanation: Perimeter of flower orchard = 105 m

Each side of an equilateral triangle is equal.

Therefore, the perimeter is equally divided among all three sides.

Length of each side of an equilateral orchard = 105 ÷ 3 
                                                                  = 35 m

2. The printed photo has a length of 19 cm and a width of 14 cm. How long does the border need to be for the photo to be framed in the photo frame?

a) 33 cm
b) 44 cm
c) 66 cm
d) 88 cm

Answer: c) 66 cm

Explanation: Length of print photo = 19 cm 

Breadth of print photo = 14 cm

Perimeter of photo frame = 2 (length + breadth) 
                                      = 2 × (19 + 14) 
                                       =  2 × (33) 
                                        = 66 cm

3. What is the length of each side if the perimeter of each face of a cube is 30 cm?

a) 2.5 cm
b) 5.5 cm
c) 7.5 cm
d) 9.5 cm

Answer: c) 7.5 cm

Explanation: Perimeter of each face of a cube = Perimeter of square = 30 cm

Each side of a square is equal. Therefore, the perimeter of a square is equally divided among all four sides.

Length of each side = 30 ÷ 4
                              = 7.5 cm

4. One side of a regular octagon is 13 cm. What is its perimeter?

a) 84 cm
b) 94 cm
c) 104 cm
d) 114 cm

Answer: c) 104 cm

Explanation: Perimeter of the regular octagon = Sum of all lengths of sides
                                                                     = 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 
                                                                      = 104 cm

OR

Perimeter of the regular octagon = 8 × (length of each side) 
                                                = 8 × (13)
                                                 = 104 cm

5. Find the perimeter of the figure given below.

a) 43 cm
b) 47 cm
c) 51 cm
d) 57 cm

Answer: b) 47 cm

Explanation: Perimeter of the given figure = Sum of all lengths of sides
                                                                = 6 + 6 + 5 + 4 + 6 + 2 + 1.5 + 1.5 + 7 + 8 
                                                                 = 47 cm