Question

The area of a rhombus is $119c{m}^2$ and its perimeter is $56cm$. find its height.

Answer 1

Given: Area of the rhombus $=119c{m}^2$

Perimeter of the given rhombus $=56cm$

We know that all sides of a rhombus are equal.

Perimeter $=4\times$ length of side.

$\Rightarrow 56=4\times side$

$\Rightarrow$ Length of each side$=\frac{56}{4}=14cm$

Rhombus is also a parallelogram.

So, Area of rhombus $=$ Base $\times$ height

Height $=\frac{\text{area of the rhombus}}{\text{base}}$

$=\frac{119}{14}=8.5cm.$ [$\because$ base can be taken as any side, as all sides are equal]​