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)?

31250

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