Question

The perimeter of the following shaded portion of the figure is

• A. 40 m
• B. 40.07 m
• C. 35.72m
• D. 35 m

Answer 1

The correct option is C 35.72m

Then length and breadth of rectangle is 17 m and 4 m respectively.

Then perimeter of rectangle=$2(L+B)=2(17+4)=42$

The radius of one fourth circle given in figure is 1 m

Then perimeter of one fourth circle=$\frac{1}{4}\times \left(2\pi r\right)=\frac{1}{4}\left(2\pi \right(1\left)\right)=\frac{1}{2}\pi$

Thenperimeter of four one fourth circle=$4\times \frac{1}{2}\pi =2\times 3.14=6.28m$

Then perimeter of shaded figure $=42-6.28=35.72m$