Question

The shape of a garden is rectangular in the middle and semi circular at the ends as shown in the diagram. The perimeter of this garden is

• A. 60 m
• B. 62m
• C. 45 m
• D. 48 m

Answer 1

The correct option is D

48 m

The perimeter of the garden will be equal to the circumference of the complete circle (two semi-circular parts) plus twice the length of the rectangular part.

Length $=20-\left(\frac{7}{2}\right)+\left(\frac{7}{2}\right)=(20-7)m=13m$

Circumference of circle $=2\pi r=2\times \frac{22}{7}\times \frac{7}{2}=22m$

Perimeter of the rectangular part $=(13+13)m=26m$

So, perimeter of the shape $=(22+26)m=48m$