Question : A square playground measures 1127.6164 sq. cm. If a man walks $2\frac{9}{20}$ m a minute, the time it takes him to walk one round around it is approximately:
Option 1: 50.82 minutes
Option 2: 54.82 minutes
Option 3: 54.62 minutes
Option 4: 50.62 minutes
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Correct Answer: 54.82 minutes
Solution :
Given: A square playground measures 1127.6164 sq. cm and a man walks $2\frac{9}{20}$ metres a minute.
Let the sides of the playground be a metre.
According to the question,
$a^2=1127.6164$
⇒ $a=\sqrt{1127.6164}$
⇒ $a=33.58$ m
So the perimeter of the playground = (4 × 33.58) m = 134.32 m
Here, the speed of the man = $2\frac{9}{20}=\frac{49}{20}$ m/min
Therefore, the time required to cover 134.32 m $=\frac{134.32}{\frac{49}{20}}=134.32×\frac{20}{49}=54.82$ minutes
Hence, the correct answer is 54.82 minutes.
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