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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 he area of that rectangle ?


Options:
A .  2400 sq.cm
B .  2480 sq.cm.
C .  2560 sq.cm.
D .  Data inadequate
E .  None of these
Answer: Option C

Let breadth = `x` cm,

Then , length = `(160/100 x) cm =  8/5 x` cm.

So, `8/5 x - x = 24`

`hArr    3/5 x = 24`

`hArr    x = ((24 xx 5)/(3))` = 40.

`:.`    Length = 64 cm,      Breadth = 40 cm

Area = (64 x 40) `cm^2` = 2560 `cm^2`




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