Question

The area of a square is 256 cm². The perimeter of the square is
(a) 16 cm
(b) 32 cm
(c) 48 cm
(d) 64 cm

Answer 1

(a) 16 cm
Let one side of the square be x cm.
Area of the square = (Side )² cm² = x² cm²
It is given that the area of the square is 256 cm².
⇒ x² = 256
⇒ x = $\sqrt{256}=\pm 16$
We know that the side of a square cannot be negative.
So, we will neglect −16.
Therefore, the side of the square is 16 cm.

Perimeter of the square = $\left(4\times \mathrm{side}\right)=\left(4\times 16\right)\mathrm{cm}=64\mathrm{cm}$