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

A. 2400 sq.cm

B. 2480 sq.cm

C. 2560 sq.cm

D. None of these

Correct Answer :

C. 2560 sq.cm

L e t b r e a d t h = x c m . T h e n, l e n g t h = (\frac{160}{100} x) c m = \frac{8}{5} x c m S o, \frac{8}{5} x - x = 24 \frac{3}{5} x = 24 x = (\frac{24 \times 5}{3}) = 40 ∴ L e n g t h = 64 c m, B r e a d t h = 40 c m A r e a = (64 \times 40) c m^{2} = 2560 c m^{2}

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