A square playground measure 1127.6164 sq.m. If a man walks 2 920 m a minute, the time taken by him to walk one round around it is approximately :

Answer: Option B

Let side of the square playground is $$x$$
Ans Area :
$$\begin{array}{rl}& x^2=1127.6164\\ & x=\sqrt{1127.6164}\\ & x=33.58\end{array}$$
Perimeter of playground :
$$\begin{array}{rl}& =4x\\ & =4\times 33.58\\ & =134.32\end{array}$$
Time taken to complete 1 round :
$$\begin{array}{rl}& =\frac{134.32}{2\frac{9}{20}}\\ & =\frac{134.32}{49}\times 20\\ & =54.82\text{minutes}\end{array}$$