A man walking at 12 km/hr croses a square filed diagonally in 5 minutes. What is the area of the filed?

A man walking at 12 km/hr croses a square filed diagonally in 5 minutes. What is the area of the filed? Correct Answer 500,000m2

speed = 12 x ( 5/18 ) m/sec. = 20 / 6 m/sec. ∴ Distance covered in 5 min. = ( 20 / 6) x 5 x 60 m = 1000 m. ∴ Length of diagonal = 1000 m Area of the field = 1/2 x (diagonal)2 = 1/2 x 1000 x 1000 m2 = 500000 m2 (ans)
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