Question

The area of a rhombus is 119 cm² and its perimeter is 56 cm. Find its height.

Answer 1

Perimeter of the rhombus = 56 cm
Area of the rhombus = 119 cm²
Side of the rhombus = $\frac{\mathrm{Perimeter}}{4}$ = $\left(\frac{56}{4}\right)$ cm = 14 cm
Area of a rhombus = Base $\times$ Height

∴ Height of the rhombus = $\frac{\mathrm{Area}}{\mathrm{Base}}$= $\left(\frac{119}{14}\right)$ cm
= 8.5 cm