A rectangular plot has iits length increased by 10% and its breadth decreased by 10%. what is the effect on its area?
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let its length x unit and breadth y unit
here its area xy unit square.
its new length will be x+10x/100=11x/10
and New breadth will be y-10y/100=9y/10
so its new area is (11x/10)*(9y/10)=99xy/100
so change in area = xy-99xy/100= xy/100
here New area will decrease
now change percent =((xy/100)/xy)*100= 1%
here its area xy unit square.
its new length will be x+10x/100=11x/10
and New breadth will be y-10y/100=9y/10
so its new area is (11x/10)*(9y/10)=99xy/100
so change in area = xy-99xy/100= xy/100
here New area will decrease
now change percent =((xy/100)/xy)*100= 1%
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