the length of a given rectangle is increased by 20%and the breadth is deceased by 20% then the resulting area is
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3
Answer:
4%
Step-by-step explanation:
Let the original length and breadth be l and b.
So, initial area = lb.
(i) Length:
Given that length is increased by 20%.
So, Length = (120/100)l
= 6l/5
(ii) Breadth:
Given that breadth is decreased by 20%.
So,Breadth = (80/100)b
= 4b/5
So,new area = (6l/5) * (4b/5) = (24lb/25).
Now,
%decrease = [(original area -new area) * 100]/lb
= [(lb - 24 lb/25) * 100]/lb
= [(lb/25) * 100]/lb
= 100/25
= 4%
Therefore, % decrease = 4%.
Hope it helps!
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0
Step-by-step explanation:
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