Question

In the given figure area of $\Delta DAC$ is $60c{m}^2$, then the area of of parallelogram ABCD is

• A. $240c{m}^2$
• B. $120c{m}^2$
• C. $80c{m}^2$
• D. $40c{m}^2$

Answer 1

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

Area of $\Delta DAC=60c{m}^2$... (given)
$\Delta DAC$ and parallelogram ABCD lie on the same base DC and between the parallels AB and DC.

$\therefore$Area of parallelogram ABCD = $120c{m}^2$ ... (area of a parallelogram is twice the area of triangle if both are on the same base and between the same parallels).