Question

The area of a square is $4t^2$ unit${}^2$. The dimension of each side of the square is

• A. $4t$
• B. $2t$
• C. $2t^2$

Answer 1

The correct option is B $2t$


We know that square has equal sides.
Lets say each side of the square is represented by $s$.
$\therefore$The area of the square $=(s\times s)$unit${}^2$
$\Rightarrow s\times s=4t^2$
$\Rightarrow s^2=2t\times 2t$
$\Rightarrow s=\sqrt{4t^2}=\sqrt{4}\times \sqrt{t^2}$
$\Rightarrow s=2t$
Each side of the square is $2t$ units.