SOLUTION: If the side of the square be increased by 5%. What is the % increased in area ?

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Question 895455: If the side of the square be increased by 5%.
What is the % increased in area ?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
To begin,
A%5B1%5D=s%5E2
Increasing the length of the side by 5%.
s%5B2%5D=%281%2B5%2F100%29%2As=1.05s
A%5B2%5D=%281.05%29s%5E2
%28A%5B2%5D-A%5B1%5D%29%2FA%5B1%5D=1.05%5E2-1
%28A%5B2%5D-A%5B1%5D%29%2FA%5B1%5D=.1025
So the increase is 10.25%.