Question:
The area of a square field is $80 \frac{244}{729}$ square metres. Find the length of each side of the field.
Solution:
The length of one side is the square root of the area of the field. Hence, we need to calculate the value of $\sqrt{80 \frac{244}{729}}$
We have
$\sqrt{80 \frac{244}{729}}=\sqrt{\frac{58564}{729}}=\frac{\sqrt{58564}}{\sqrt{729}}$
Now, to calculate the square root of the numerator and the denominator:.png)
We know that:
$\sqrt{729}=27$
Therefore, length of one side of the field $=\frac{242}{27}=8 \frac{26}{27} m$