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A took 15 seconds to cross a rectangular field diagonally walking at the rate of 52 m/ min and B took the same time to cross the same field along its sides walking at the rate of 68 m/ min. The area of the field is

A.	30 sq metres	B.	40 sq metres
C.	50 sq metres	D.	60 sq metres

Answer and Explanation

Answer:60 sq metres

Explanation:
Length of the diagonal = (52 * 15/60) = 13m
Sum of length and breadth = (68 * 15/60) = 17 m
Hence √(l2 + b2) = 13 or l2 + b2 = 169 and l + b = 17
Area = lb = ½ (2lb) = ½ [(l + b)2 – (l – b)2] = ½ (289 – 169) = 60 sq m

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