Question

The measurements of the figure given below are in centimetres.

What is its area?

• A. $200c{m}^2$
• B. $186c{m}^2$
• C. $210c{m}^2$
• D. $196c{m}^2$

Answer 1

Answer: (C)

Step 1: Given

Length = 6x+9

Breadth = 2(x+3) = x+8

Step 2: Formula used

Area of rectangle = length×breadth

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

Step 4: Finding the area

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