Question

In a parallelogram, the base and height are in the ratio of $5:2$. If the area of the parallelogram is $360m^2$, find its base and height.

Answer 1

Let the base and height of the parallelogram be 5x and 2x respectively.
$\text{Area of parallelogram}=\text{base}\times \text{height}=360m^2$
$\Rightarrow 5x\times 2x=360m^2$
$\Rightarrow 10x^2=360m^2$
$\Rightarrow x^2=36m^2$
$\Rightarrow x=6m$
$\text{So, base of parallelogram}=5x=5\times 6=30m$ $\text{Height of parallelogram}=2x=2\times 6=12m$