Question

In the given figure, if area of $△ADE$ is $60c{m}^2$; state, giving reason, the area of $\square ABCF$

• A. $120c{m}^2$
• B. $110c{m}^2$
• C. $100c{m}^2$
• D. $150c{m}^2$

Answer 1

The correct option is A $120c{m}^2$

Area of $△ADE=60$
$\Rightarrow \frac{1}{2}DE\times AF=60$
$\Rightarrow DE\times AF=120$

In parallelogram $ABED.$

$AB=DE$

The diagonal bisects the parallelogram into two equal triangles.

Area of rectangle $ABCF=AB\times AF$
$=DE\times AF$
$=120c{m}^2$