Question

Find the altitude of a rhombus whose area is $30$ $c{m}^2$ and perimeter is $0.24$ $m$

Answer 1

Given, area $=30c{m}^2$

Perimeter $=0.24m=24cm$

All sides of rhombus are same

So, $perimeter=4\times side$

$\Rightarrow 24=4\times side$
$\Rightarrow side=\frac{24}{4}$

$\Rightarrow side=6$

Hence each side is $6cm$

Now,

$area=Base\times height$

$\Rightarrow 30=6\times h$

$\Rightarrow h=\frac{30}{6}$

$\Rightarrow h=5$

Hence, the altitude is $5cm$