the length of a rectangle is increased by 30% and the breadth is decreased by the same percent what is the percentage change in area
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Step-by-step explanation:
let the length of rectangle be l
breadth of rectangle be b
area of rectangle is = l × b
if length is increased by 30%
= l + (30/100 × l)
= l + 30l/100
= 100l + 30l/ 100
= 130l / 100
if breadth is decreased by 30%
= b - (30/100 × b)
= b - 30b/100
= 100b - 30b / 100
= 70b/100
area of the rectangle will be
= 130l/100 × 70b/100
= 9100lb/10000
= 91lb/100
= 0.91lb
ratio of area is
lb : 0.91lb
change of area is 0.09%
the area decreases
hope you get your answer
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