Question

A square field of 2 sq km area is to be divided into two equal parts by a fence which concides with a diagonal. The length of the fence is?

Answer 1

$$\begin{gathered} \mathrm{Area}\mathrm{of}\mathrm{square}\mathrm{field}=2{\mathrm{km}}^2 \\ \mathrm{Side}\mathrm{of}\mathrm{square}\mathrm{field}=\sqrt{2}\mathrm{km} \\ \mathrm{Diagonal}\mathrm{of}\mathrm{square}\mathrm{field}=\sqrt{2}\times \sqrt{2}\mathrm{km}=2\mathrm{km} \\ \mathrm{Hence},\mathrm{length}\mathrm{of}\mathrm{fence}=2\mathrm{km} \end{gathered}$$