A took 15 seconds to cross a rectangular field diagonally walking at the rate of 52 m min and B took...........

Quantitative Aptitude ( CCS) Mensuration 2D

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 68m/min. The area of the field is?

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Explanation:

length of the diagonal = 52 x (15/60) =13m
sum of length and breadth = 68 x (15/60) = 17m
√(l²+b²)=13 or l+b =17
area =lb = 1/2[(2lb)] = 1/2[(l+b)² - (l²+b²)] = 1/2[17² -169]
=1/2 x 120 = 60 sq.m