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The Area of a Square Field is 80 244 729 Square Metres. Find the Length of Each Side of the Field. - Mathematics

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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(80 244/729)` 

We have 

`sqrt(80 244/729)=sqrt(5856/729)=sqrt(58564/729)` 

Now, to calculate the square root of the numerator and the denominator: 

We know that:

`sqrt729=27`

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

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Chapter 3: Squares and Square Roots - Exercise 3.6 [Page 48]

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RD Sharma Mathematics [English] Class 8
Chapter 3 Squares and Square Roots
Exercise 3.6 | Q 3 | Page 48

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