The area of a square plot is $100\frac{601}{900}\ m^2$. Find the length of one side of the plot.

Given: The area of a square plot is $100\frac{601}{900}\ m^2$.

To do: To find the length of one side of the plot.

Solution:
 

As given, the area of a square plot is $100\frac{601}{900}\ m^2$

$=\frac{90000+601}{900}$

$=\frac{90601}{900}$

Let $a$ be the side of the plot.

$\Rightarrow a^2=\frac{90601}{900}$

$\Rightarrow a=\sqrt{\frac{90601}{900}}$

$\Rightarrow a=\sqrt{\frac{301\times301}{300\times300}}$

$\Rightarrow a=\frac{301}{300}=1.00333\ m$

Thus, the length of the side is $1.00333\ m$.

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Updated on: 10-Oct-2022

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