Question

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

• A. $12\frac{5}{6}m$
• B. $12\frac{1}{6}m$
• C. $13\frac{2}{5}m$
• D. $10\frac{1}{20}m$

Answer 1

The correct option is D $10\frac{1}{20}m$

Area of square $=Side\times Side$
$101\frac{1}{400}=Sid{e}^2$
Side $=\sqrt{101\frac{1}{400}}=\sqrt{\frac{40401}{400}}$

$\begin{array}{cc}201& 40401\\ 201& 201\\ & 1\end{array}$

$\begin{array}{cc}2& 400\\ 2& 200\\ 2& 100\\ 2& 50\\ 5& 25\\ 5& 5\\ & 1\end{array}$


$=\sqrt{\frac{201\times 201}{2\times 2\times 2\times 2\times 5\times 5}}=\frac{201}{2\times 2\times 5}$

$=\frac{201}{20}=10\frac{1}{20}m$