SOLUTION: Length of a rectangle is increased by 6%. What will be the increase in breadth if the area of the rectangle remains the same.?

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Question 980516: Length of a rectangle is increased by 6%. What will be the increase in breadth if the area of the rectangle remains the same.?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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A=area; L=length; W%5B1%5D=original width; W[2])))=new width
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A=LW%5B1%5D
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Length increase by 6%, same area.
A=%281.06L%29%28W%5B2%5D%29 Substitute for A.
LW%5B1%5D=%281.06L%29%28W%5B2%5D%29 Divide each side by L.
W%5B1%5D=1.06W%5B2%5D Divide each side by 1.06.
W%5B1%5D%2F1.06=W%5B2%5D Convert 1/1.06 to decimal.
0.9434W%5B1%5D=W%5B2%5D
The new width to keep the same area is 94.34% of the original,
for a decrease of 5.66%.