Question

The area of a rhombus is 84 m². If its perimeter is 40 m, then find its altitude.

Answer 1

$$\begin{gathered} \text{Given:} \\ {\text{Area of the rhombus = 84 m}}^2 \\ \mathrm{P}\text{erimeter = 40 m} \\ \text{Now, we know: Perimeter of the rhombus = 4×Side} \\ \therefore 40=4\times \text{Side} \\ \text{Side=}\frac{40}{4}\text{=10 m} \\ \text{Again, we know: Area of the rhombus = Side×Altitude} \\ \Rightarrow 84=10\times \text{Altitude} \\ \text{Altitude =}\frac{84}{10}\text{= 8.4 m} \\ \text{Hence, the altitude of the rhombus is 8.4 m.} \end{gathered}$$