Question

A rope of length 20 cm is able to cover only one straight boundary of the given figure. If the length of the curved boundary is one - fourth the length of straight side, What is the perimeter of the given symmetric figure?

• A. 44 cm
• B. 43 cm
• C. 45 cm
• D. 46 cm

Answer 1

The correct option is C 45 cm

Since the given figure is symmetric about the centre line as shown. The length of both the straight boundary will be same.


Length of the straight boundary = Length of the rope.
= 20 cm
Length of the curved boundary
= $\frac{1}{4}$ $\times$ 20
= 5 cm

Perimeter of the given shape
= 5 + 20 + 20 = 45 cm