Question

Area of a square poster is $25$ sq ft. The length of each side will be:

• A. $\pm \sqrt{25}$
• B. $-\sqrt{25}$
• C. $\sqrt{-25}$
• D. $\sqrt{25}$

Answer 1

The correct option is D $\sqrt{25}$

$\text{Detailed step-by-step solution:}$
Area of a square poster is $25$ sq ft.
Let the length of each side of the poster be $x$.
So, the area of the square poster $=x^2$
That means, $x^2=25$
$\sqrt{x\times x}=\pm \sqrt{25}$ (taking square root on both the sides)
$x=\pm \sqrt{25}$
Here, the value of $x$ can be either $\sqrt{25}$ or $-\sqrt{25}$.
But as $x$ is the length of the sides, so $-\sqrt{25}$ cannot be considered.
So, the only possible value of $x$ is $\sqrt{25}$.

So, option B is the correct answer.