If length and breadth change by 20 %and -10%.what is %change in area
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Answer:
8%
Step-by-step explanation:
Let,
length be x
breath be y
So, Area = length x breadth
= xy
If length change by 20%
So, new length = x + 20x/100
= 6x/5 ( after doing LCM )
again breadth change by -10%
So, new breadth = y - 10y/100
= 9y/10 ( after doing LCM)
Therefore, new area = new length x new breadth
= 6x/5 x 9y/10
= 54xy/50
= 27xy / 25
Difference in Area = New Area - Area
= 27xy/25 - xy
= 2xy/25
Therefore,
Change percentage = [(2xy/25) ÷ xy] x 100%
= 8%