Question

Find the area of the given figure.

• A. $22c{m}^2$
• B. $24c{m}^2$
• C. $20c{m}^2$
• D. $48c{m}^2$

Answer 1

The correct option is B

$24c{m}^2$

The given figure can be divided into two different rectangle as shown below.


Area of the figure = Area of the black rectangle + Area of the grey rectangle
Length of the black rectangle = 4 cm (Since CD = 6 - 2 = 4 cm)
Breadth of the black rectangle= 2 cm
$\Rightarrow$ Area of the black rectangle = 4 cm $\times$ 2 cm = $8c{m}^2$
Length of the grey rectangle = 8 cm
Breadth of the grey rectangle = 2 cm
$\Rightarrow$ Area of the grey rectangle = 8 cm $\times$ 2 cm = $16c{m}^2$
$\therefore$ Area of the given figure = 16 + 8 = $24c{m}^2$