Question

Find the length of the diagonal of a square whose area is $16c{m}^2$

• A. $2cm$
• B. $4cm$
• C. $\sqrt{2}cm$
• D. $4\sqrt{2}cm$

Answer 1

Answer: (D)

$4\sqrt{2}cm$

Area of a square with side length $s$

$A=s^2$

Diagonal of the square $=\sqrt{2}s$

Given: $A=s^2=16$

$⟹s=4$

$\therefore$ diagonal=$\sqrt{2}\times 4=4\sqrt{2}\text{cm}$