Question

In the parallelogram ACEF, AB = BC = 6 cm. If the area of $△BCE$ is $15{\text{cm}}^2$, then what is the area of ACEF?

• A. $20{\text{cm}}^2$
• B. $30{\text{cm}}^2$
• C. $45{\text{cm}}^2$
• D. $60{\text{cm}}^2$

Answer 1

The correct option is D $60{\text{cm}}^2$

Area of $△BCE$ = $\frac{1}{2}\times base\times height$
$⟹15=\frac{1}{2}\times 6\times h$
$⟹h=\frac{30}{6}=5cm$

Area of parallelogram = base $\times$ height
= AC $\times$ h
= (6+6)$\times$5
= $60{\text{cm}}^2$