Question

Find the area covered by a square which has a diagonal of length of $16\sqrt{2}$ meters.

• A. 256 m²
• B. 16 m²
• C. 32 m²
• D. None of the above

Answer 1

The correct option is A

256 m²

The relation between diagonal and side of a square is :
$a\sqrt{2}=d$
where, a = side of the square
d = length of diagonal (from Pythagorean theorem)
$\Rightarrow a\sqrt{2}=16\sqrt{2}$
$\Rightarrow$ a = 16m.
Therefore, area is given by:
A = $a^2$
$\Rightarrow A={16}^2=256m^2$.