Question 132

Solve the following question:

The area of a square plot is $101\frac{1}{400}{m}^2$. Find the length of one side of the plot.

Let the length of the square plot be a. Then, the area of square $=a^2$
According to the question,
Area $=101\frac{1}{400}{m}^2$ [given]
$\therefore a^2=101\frac{1}{400}\Rightarrow a^2=\frac{40401}{400}\Rightarrow a=\sqrt{\frac{40401}{400}}\Rightarrow a=\sqrt{\frac{201\times 201}{20\times 20}}$
$\therefore a=\frac{201}{20}=10\frac{1}{20}m$ [taking square root on both sides]
Hence, the length of one side of the plot is $10\frac{1}{20}m$.