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The area of a square field is $80\frac{244}{729}$ square metres. Find the length of each side of the field.
Given:
The area of a square field is $80\frac{244}{729}$ square metres.
To do:
We have to find the length of each side of the field.
Solution:
Area of the square field $=80 \frac{244}{729}$
$=\frac{80 \times 729+244}{729}$
$=\frac{58320+244}{729}$
$=\frac{58564}{729} \mathrm{~m}^{2}$
This implies,
Side of the square field $=\sqrt{\text { Area }}$
$=\sqrt{\frac{58564}{729}}$
$=\frac{\sqrt{58564}}{\sqrt{729}}$
Square root of 58564 is,
242 | |
2 | 58564 4 |
44 | 185 176 |
482 | 964 964 |
0 |
Square root of 58564 is 242.
Square root of 729 is 27.
$\frac{\sqrt{58564}}{\sqrt{729}}=\frac{242}{27}$
$=8 \frac{26}{27}$
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