The area of a square field is $30\frac{1}{4}\ m^2$. Calculate the length of the side of the square.

Given:

The area of a square field is $30\frac{1}{4}\ m^2$.

To do:

We have to find the length of each side of the square.

Solution:

Area of the square field $=30 \frac{1}{4}$

$=\frac{30 \times 4+1}{4}$

$=\frac{120+1}{4}$

$=\frac{121}{4} \mathrm{~m}^{2}$

This implies,

Side of the square field $=\sqrt{\text { Area }}$

$=\sqrt{\frac{121}{4}}$

$=\frac{\sqrt{121}}{\sqrt{4}}$

$=\frac{11}{2}$

$=5.5\ m$