The length of a rectangular plot is 60% more than its breadth . If the difference between the length and the breadth of that rectangle is 24 cm. what is the area of that rectangle ?

A 2400 sq. cm
B 2480 .cm
C 2560 sq.cm
D Data inadequate

Correct Answer: 2560 sq.cm

Let the breadth of the rectrangle be x cm then length = x + 60% of x = x + 0.6x = 1.6x cm Given difference between length and breadth is 24 cm hence 1.6x - x = 24 ⇒ x = 40 cm length = 1.6×40 = 64 cm Area = length×breath 64×40 = 2560 s.cm.
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