Question

A field in the shape of the rhombus has sides of length 64 m and altitude 9 m.What is the length of the square field which has the same area as the rhombus.

Answer 1

$$\begin{gathered} \mathrm{Hi}, \\ \mathrm{Let}\mathrm{the}\mathrm{length}\mathrm{of}\mathrm{side}\mathrm{of}\mathrm{square}\mathrm{is}\mathrm{x}\mathrm{so} \\ \mathrm{area}\mathrm{of}\mathrm{square}=\mathrm{area}\mathrm{of}\mathrm{rhombus} \\ {\mathrm{x}}^2=\mathrm{base}\times \mathrm{height} \\ {\mathrm{x}}^2=64\times 9 \\ \mathrm{x}=\sqrt{8\times 8\times 3\times 3}=24\mathrm{cm} \end{gathered}$$