Question

Find the area of a square, the length of whose diagonal is 64 cm.

Answer 1

Given that the diagonal of a square is 64 cm.

Area of the square = $\left\{\frac{1}{2}\times {\left(\mathrm{diagonal}\right)}^2\right\}$ sq. units.
= $\left\{\frac{1}{2}\times {\left(64\right)}^2\right\}$ cm² =$\left\{\frac{1}{2}\times 4096\right\}$ cm² = 2048 cm²
∴ Area of the square = 2048 cm²