Question

Find the perimeter of a square having an area of 16 square meters.
meters

Answer 1

Given, the area of the square $=16$ square meters
Let the side of the square be $a$ meters.

The area of a square is defined as the space occupied by the square.
$\Rightarrow \text{Area}=a\times a$
$\Rightarrow 16=a^2$
Taking square root both sides
$\Rightarrow \sqrt{16}=\sqrt{a^2}$
$\Rightarrow \pm 4=a$
$\Rightarrow a=\pm 4$
$\Rightarrow a=4(\because \text{A side of a square cannot be negative}$
$\therefore a=-4\text{is rejected})$

$\therefore$ The perimeter of the square
$=4\times a$
$=4\times 4$
$=16$ meters