The area of a square field is

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:

We know that:

$\sqrt{729}=27$

Therefore, length of one side of the field $=\frac{242}{27}=8 \frac{26}{27} m$

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