The length of a rectangle is halved while its breadth is tripled What is the percentage change in ar...........

Quantitative Aptitude ( CCS) Mensuration 2D

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The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

25 %

30 %

50 %

70 %

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Explanation:

Let original length = x and original breadth = y.
Original area = xy.
New length = x/2 and New breadth=3y
New area = 3xy/2
herefore, Increase in area = New area-original area = 3xy/2−xy=1xy/2
Therefore, Increase % = (increase in area)100*/(original area)
(1xy/2/xy)*100 =50 %