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Question

The area of a square field is $$80\dfrac {244}{729}$$ square metres. Find the length of each sides field.

A
$$8\dfrac {26}{27}m$$
B
$$8\dfrac {22}{27}m$$
C
$$8\dfrac {25}{27}m$$
D
$$8\dfrac {24}{27}m$$
Solution
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Correct option is C. $$8\dfrac {26}{27}m$$
Given area of square field $$= 80 \dfrac{244}{729} m^2$$

Let us assume that side of square field is x

Then area of field $$= x^2$$

According to question

$$x^2 = 80 \dfrac{244}{729} m^2$$

$$x^2 = \dfrac{58,564}{729} m^2$$

$$x = \dfrac{\sqrt{58,564}}{\sqrt{729}} m$$

$$x = \dfrac{242}{27} m$$

Hence side of field is $$8 \dfrac{26}{27} m$$.

Option (C)

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