A man walking at the speed of 4 km/hr,cross a square field diagonally in 3 minutes.The area of the field is?

A man walking at the speed of 4 km/hr,cross a square field diagonally in 3 minutes.The area of the field is? Correct Answer 20000 sqm

Speed of man, = 4 kmph = $$\frac{{4 \times 5}}{{18}}$$ m/secIn 3 min (180 sec) man will go = $$\frac{{20 \times 180}}{8}$$ = 200 m.That means the diagonal of the square field = 200 m.Diagonal of square,= Side of Square × $$\sqrt 2 $$  = 200 m.→ Side of Square = $$\frac{{200}}{{\sqrt 2 }}$$Area of Square = Side2Area = $$\frac{{200 \times 200}}{2}$$   = 20000 sqm.
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