Question

The playground of a school is shown below.


Determine 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 semi-circle = 70 m
Length of the rectangle = 100 m
Perimeter of the playground = 2 $\times$ Circumference of the semi-circle + 2 $\times$ length of 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.