Question

Find the perimeter of the given figure having three regular polygon.

• A. 61 cm
• B. 63 cm
• C. 70 cm
• D. 77 cm

Answer 1

The correct option is C 70 cm

The given figure has 3 polygons.

1. perimeter of polygon containing 5 sides
= number of sides $\times$ length of one side
= 5 $\times$ 7
= 35 cm

2. perimeter of polygon containing 6 sides
= number of sides $\times$ length of one side
= 6 $\times$ 7
= 42 cm

3. perimeter of polygon containing 3 sides
= number of sides $\times$ length of one side
= 3 $\times$ 7
= 21 cm

If you notice they share one side so for the perimeter of the whole figure we need to subtract the length of the common sides side.

perimeter of polygon containing 5 sides
= 35 - 7
= 28 cm
perimeter of polygon containing 6 sides
= 42 - 7 - 7
= 28 cm
perimeter of polygon containing 3 sides
= 21 - 7
= 14 cm

Total perimeter = 28 + 28 + 14
= 70 cm