Question

Area of shaded portion in figure is

• A. $25c{m}^2$
• B. $15c{m}^2$
• C. $14c{m}^2$
• D. $10c{m}^2$

Answer 1

The correct option is D

$10c{m}^2$

Correct option: (d) $10c{m}^2$

Explanation

From the given details we observe that

The dimensions of the rectangle

Length of the rectangle $=5cm$ and,

The breadth of the rectangle $=3cm+1cm=4cm$

Area of rectangle $=length\times breadth$

$$\begin{gathered} =5\times 4 \\ =20c{m}^2 \end{gathered}$$

From the figure, the shaded part covered exactly half of the rectangle,

Therefore,

Area of the shaded part $=\frac{areaofrec\tan gle}{2}$

$$\begin{gathered} =\frac{20}{2} \\ =10c{m}^2 \end{gathered}$$

Thus, the area of the portion is $10c{m}^2$

Hence, the correct option is (d)