SOLUTION: If the two sides of a rectangle change in such a manner that the rectangle's area remains constant, and one side increases by 25%, what must happen to the other side?

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Question 1101772: If the two sides of a rectangle change in such a manner that the rectangle's area remains constant, and one side increases by 25%, what must happen to the other side?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If the two sides of a rectangle change in such a manner that the rectangle's area remains constant, and one side increases by 25%, what must happen to the other side?
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Original dimensions::
A = L*W
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If one dimension increases by 25%::
A = (1.25L)*x
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Substitute and solve for "W":
1.25Lx = LW
W = (1.25Lx)/L
W = 1.25x
x = W/(1.25)
x = (4/5)W = 0.8W
Ans: The other dimension must be multiplied by 80% or decreases by 20%.
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Cheers,
Stan H.
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