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?

Correct Answer: 60

Explanation:

length of the diagonal = 52 x (15/60) =13m

sum of length and breadth = 68 x (15/60) = 17m

$l 2 + b 2 = 13 o r l + b = 17$
area =lb = 1/2[(2lb)] = 1/2[(l+b)² - (l²+b²)] = 1/2[17² -169]

=1/2 x 120 = 60 sq.m

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