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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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