A square playground measure 1127.6164 sq.m. If a man walks $$2\frac{9}{{20}}$$ m a minute, the time taken by him to walk one round around it is approximately :

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