Question

What is the area of the figure given below?

• A. $110c{m}^2$
• B. $200c{m}^2$
• C. $20c{m}^2$
• D. $210c{m}^2$

Answer 1

The correct option is D $210c{m}^2$

Clearly, the figure is a rectangle as its interior angles are equal to 90${}^{\circ }$ and opposite sides are parallel and equal in length.
$\therefore 2(x+3)=x+8$
$\Rightarrow 2x+6=x+8$
$\Rightarrow x=2cm$

$\Rightarrow \text{Area of the rectangle}=\text{length}\times \text{breadth}$
$\Rightarrow \text{Area of the rectangle}=(x+8)(6x+9)$
$\Rightarrow \text{Area of the rectangle}=(2+8)(6\times 2+9)$
$\Rightarrow \text{Area of the rectangle}=10\times 21=210c{m}^2$
Therefore, the area of the figure is $210c{m}^2$.