Question

Find the area of the given figure.

• A. $24c{m}^2$
• B. $28c{m}^2$
• C. $14c{m}^2$
• D. $16c{m}^2$

Answer 1

The correct option is A $24c{m}^2$

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


Area of the figure
= Area of the CDEG (black rectangle) + Area of the ABGF (grey rectangle)

Length of the rectangle CDEG
= GE
= FE - FG
= 6 - 2
= 4 cm

Breadth of the CDEG = 2 cm

$\Rightarrow$ Area of the CDEG (black rectangle)
= 4 cm $\times$ 2 cm
= $8c{m}^2$

Length of the ABGF = 8 cm
Breadth of the ABGF = 2 cm

$\Rightarrow$ Area of the ABGF (grey rectangle)
= 8 cm $\times$ 2 cm
= $16c{m}^2$

$\therefore$ Area of the given figure
= $(16+8)c{m}^2$
= $24c{m}^2$