55. The percentage increase in the area of a
rectangle, if cach of its sides is increased by
20% is
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Answer:
Let original length = x metres and original breadth = y metres
Originalare=(xy
)m2Newlength=(120100x)m=(65x)mNewbreadth=(120100y)m=(65y)mNewarea=(65x×65y)m2=(3625xy)m2Thedifferencebetweentheoriginalarea = xyandnewarea3625xyis=(3625)xy−xy=xy(3625−1)=xy(1125)or(1125)xy∴Increase%=(1125xy×1xy×100)%=44%
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