Question

The area of parallelogram ABCD is 36 cm${}^2$. Calculate the height of parallelogram ABEF if AB = 4.2 cm.

Answer 1

$\Rightarrow$ In given figure parallelogram $ABCD$ and parallelogram $ABEF$ are lies between same parallel lines and having same base $AB$.

$\therefore$ Area of parallelogram $ABCD$ = Area of parallelogram $ABEF$.

$\Rightarrow$ In parallelogram $ABEF$

$\Rightarrow$ $AB=b=4.2$ and $FP=h$.

$\Rightarrow$ Area of parallelogram $ABEF=b\times h$.

$\Rightarrow$ $36=4.2\times h$.

$\Rightarrow$ $h=\frac{36}{4.2}$

$\Rightarrow$ $h=8.57cm$.

$\therefore$ Height of parallelogram $ABEF$ is $8.57cm$.