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. 62 m
• 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.
$\text{Length}=20–(\frac{7}{2}$+ $\frac{7}{2})$
$=20–7$
$=13m$
$\text{Circumference of circle}=2\pi r=2\times \frac{22}{7}\times \frac{7}{2}=22m$
$\text{Perimeter of the garden}=(13+13+22)m=48m$