Question

Calculate the length of the diagonal of a square if the area of the square is $50 cm^2.$

• A. 50√2 cm
• B. 5 cm
• C. 15√2 cm
• D. 10 cm

Answer 1

Answer:

D. 10 cm

Given:

Area of the square = 50 cm²

Formula used:

Area of square = a²

For square of side ‘a’, diagonal = √2a

Calculation:

a² = 50 cm²

⇒ a = $\sqrt{(5\times{5}\times{2})}$ = 5√2 cm

Thus, length of diagonal of square = √2a = √2 $\times$ 5√2 = 10 cm