Question

ABCD and PBCQ are rectangle and parallelogram respectively as shown in the figure. If AQ || BC and area of the rectangle ABCD is 10 $c{m}^2$, then find the area of the parallelogram PBCQ.

• A. 20 $c{m}^2$
• B. 5 $c{m}^2$
• C. 10 $c{m}^2$
• D. 15 $c{m}^2$

Answer 1

The correct option is C 10 $c{m}^2$

$\text{Area of rectangle ABCD}=BC\times AB=10c{m}^2$

Here, the height of the parallelogram will be breadth of rectangle i.e., AB and base is equal to its length i.e BC.

$\text{Area of parallelogram PBCQ}=base\times height=BC\times AB$
$\text{Area of parallelogram PBCQ}=\text{Area of rectangle ABCD}$
$\text{Area of parallelogram PBCQ}=10c{m}^2$

$\therefore$ Area of parallelogram PBCQ is $10c{m}^2$.