Question

The perimeter of a rhombus is 46 cm. If its height is 8 cm, find its area .

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{length}\mathrm{of}\mathrm{each}\mathrm{side}\mathrm{of}\mathrm{the}\mathrm{rhombus}=\mathrm{s} \\ \mathrm{Perimeter}\mathrm{of}\mathrm{rhombus}=46\mathrm{cm} \\ \Rightarrow 4\mathrm{s}=46 \\ \Rightarrow \mathrm{s}=11.5\mathrm{cm} \\ \mathrm{height}\mathrm{of}\mathrm{rhombus},\mathrm{h}=8\mathrm{cm} \\ \mathrm{Now},\mathrm{area}\mathrm{of}\mathrm{rhombus}=\mathrm{base}\times \mathrm{height}=11.5\times 8=92{\mathrm{cm}}^2 \end{gathered}$$