Question

The playground of a school is as shown below.

What is the perimeter of the playground?

• A. 420 m
• B. 200 m
• C. 220 m
• D. 840 m

Answer 1

The correct option is A 420 m

The given figure can be considered as the combination of two semi-circles and one rectangle.
Given: Breadth of the rectangle = Diameter of the semicircle = 70 m
Length of the rectangle = 100 m
Perimeter of the playground = $(2\times$ Circumference of the semi-circle) + $(2\times$ Length of the rectangle)
=$(2\times \pi r)+(2\times 100)$
= 2 $\times \frac{22}{7}\times 35+200$
= 220 + 200
= 420 m
Therefore, the perimeter of the playground is 420 m.