Question

The area of a square field is $2,116$ m${}^2$. Find the length of its side.

• A. $36$ m
• B. $46$ m
• C. $56$ m
• D. $26$ m

Answer 1

The correct option is B $46$ m

$\underset{–}{\text{Given:}}$
The area of square field $=2,116\text{m}{}^2$.

$\underset{–}{\text{Need to Find:}}$ Length of the side of the square field

Let the length of the side of the square field $=x$.

Hence,
Area of the square field $=(\text{Side}{)}^2$

$\Rightarrow$ Area of the square field $=x^2$

$\Rightarrow 2,116\text{m}{}^2=x^2$

$\Rightarrow x=\sqrt{2,116\text{m}{}^2}$

Square root of $2116$ can be evaluated as:


$\therefore x=\sqrt{2,116\text{m}{}^2}=46$ m

Thus, the length of the square field is $46$ m.

Therefore, option (b.) is the correct answer.