Question

Find the area of the shaded region of the following figure.
$ABCD$ is a rectangle having length $30$ cm and breadth $25$ cm. $P,Q,R,S$ are midpoints of $AB,BC,CD$ and $AD$ respectively.

• A. $375m^2$
• B. $375c{m}^2$
• C. $475m^2$
• D. None

Answer 1

The correct option is B $375c{m}^2$

The area of the shaded figure will be the area of the rhombus that is formed by the shaded region.

Area of a rhombus is $\frac{d_1{d}_2}{2}$, where $d_2,d_1$ are the lengths of the diagonals.

So, the area of the shaded region is $\frac{25\times 30}{2}=375c{m}^2$

Hence, the answer is $375c{m}^2$.