Question

The adjacent sides of a parallelogram $36cm$ and $27cm$ in length. If the perpendicular distance between the shorter sides is $12cm$, find the distance between the longer sides.

Answer 1

Area of parallelogram = base $\times$ corresponding height

Corresponding height of the longer base is shorter side.

Corresponding height of the shorter base is longer side.

Let, the distance between the longer sides be $h$.

$\Rightarrow 36cm\times h=27cm\times 12cm$

$\Rightarrow h=\frac{27cm\times 12cm}{36cm}$

$\Rightarrow h=\frac{3\times 3cm}{1}$

$\Rightarrow h=9cm$