SOLUTION: the sides of a square are decreased by 5%. by what percentage is the area decreased??

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Question 1100485: the sides of a square are decreased by 5%. by what percentage is the area decreased??
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%5B1%5D=s%5B1%5D%5E2
So then,
A%5B2%5D=%28s%5B1%5D-%285%2F100%29s%5B1%5D%29%5E2
A%5B2%5D=s%5B1%5D%5E2%281.05%29%5E2
A%5B2%5D=A%5B1%5D%280.9025%29
A%5B2%5D%2FA%5B1%5D=0.9025
So,
%28A%5B1%5D-A%5B2%5D%29%2FA%5B1%5D=1-0.9025
1-A%5B2%5D%2FA%5B1%5D=0.0975
9.75%