A man walking at a speed of 3 km/h crosses a square field diagonally in 5 minutes. What is the area of the field (in m2)?
Answer & explanation
Correct answer: option 1
We have a concept =
If B is the side of the measure of each side of a square, then B2 is the area and B\(\sqrt {2}\) is the measure of its diagonal.
We have,
Man walks 3 km/h
He takes 5 mins to cross the square field diagonally.
Man travels in 5 mins = 3 × \(\frac{5}{60}\) = \(\frac{1}{4}\) km = 250m
So, the length of the diagonal of the square field = 250m
Let the measure of each side of the square field be x.
According to the question,
x\(\sqrt {2}\) = 250
= x = 125\(\sqrt {2}\)
= x2 = 31250