Question

The area of a square is 50 cm². The length of its diagonal is

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

Answer 1

Let a be the side of the square. Then
Area of the square = a² = 50 cm² $\Rightarrow a=\sqrt{50}=5\sqrt{2}\mathrm{cm}$
Now
Diagonal of the square = $a\sqrt{\text{2}}=5\sqrt{2}\times \sqrt{2}=5\times 2=10\mathrm{cm}$
Hence,the correct option is (b).