Question

In the given figure, if the area of $△ADE$ is $60c{m}^2$; the area of parallelogram $ABED$ is

• A. $120c{m}^2$
• B. $110c{m}^2$
• C. $100c{m}^2$
• D. $156c{m}^2$

Answer 1

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

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

Area of parallelogram $ABED=AB\times AF$
$=DE\times AF$ ..... As $ABDE$ is a parallelogram, opposite sides are equal.
$=120c{m}^2$