Question

Mark (✓) against the correct answer
The area of a square is 50 cm². The length of its diagonal is

(a) $5\sqrt{2}$ cm
(b) 10 cm
(c) $10\sqrt{2}$ cm
(d) 8 cm

Answer 1

(b) 10 cm

Given that the area of the square is 50 cm².
We know:
Area of a square = $\left\{\frac{1}{2}\times {\left(\mathrm{Diagonal}\right)}^2\right\}$sq. units
∴ Diagonal of the square = $\sqrt{2\times \mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{square}}$ = $\left(\sqrt{2\times 50}\right)$cm = $\left(\sqrt{100}\right)$cm = 10 cm
Hence, the diagonal of the square is 10 cm.