A man walking at a speed of 3 km/hr. crosses a square field diagonally in 5 minutes. What is the area of the field (in m²) ?

Question:
A man walking at a speed of 3 km/hr. crosses a square field diagonally in 5 minutes. What is the area of the field (in m²) ?

Solution:
Man walks in 5 mins = 3 × (5/60) = 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√2 = 250
⇒ X = 250√2
⇒ X² = 31250

∴ The area of the square field is 31250 m².