Question

Find the area of the shaded portion in the following figures.

• A. $12946c{m}^2$
• B. $13046c{m}^2$
• C. $13246c{m}^2$
• D. $13346c{m}^2$

Answer 1

Answer: (B)

$13046c{m}^2$

Area of shaded portion=Area of trapezium-Area of rectangle-Area of circle
Area of trapezium
$=\frac{1}{2}\times \text{[Sum of parallel sides]}\times \text{Height}=\frac{1}{2}\times (120+160)\times 100=\frac{1}{2}\times 280\times 100=\frac{28000}{2}=14000c{m}^2\text{Area of rectangle = Length}\times \text{Breadth}=40\times 20=800c{m}^2\text{Area of circle =}\pi r^2=\frac{22}{7}\times 7\times 7=154c{m}^2\therefore \text{Area of shaded portion}=14000-800-154=13046c{m}^2$