Question

The area of a square field is $\frac{1}{2}$ hectare. Find the length of its diagonal in metres.

Answer 1

Area of the square = $\left\{\frac{1}{2}\times {\left(D\mathrm{iagonal}\right)}^2\right\}$ sq. units
Given:
Area of the square field = $\frac{1}{2}$ hectare
= $\left(\frac{1}{2}\times 10000\right)$ m² = 5000 m² [since 1 hectare = 10000 m² ]

Diagonal of the square = $\sqrt{2\times \mathrm{Area}\mathrm{of}the\mathrm{square}}$

= $\left(\sqrt{2\times 5000}\right)$m = 100 m

∴ Length of the diagonal of the square field = 100 m