SOLUTION: New Clarendon Park is undergoing renovations to its gardens. ONe garden that was originally a square is being adjusted so that one side is doubled in length, while the other side i

Algebra ->  Rectangles -> SOLUTION: New Clarendon Park is undergoing renovations to its gardens. ONe garden that was originally a square is being adjusted so that one side is doubled in length, while the other side i      Log On


   

Question 1106329: New Clarendon Park is undergoing renovations to its gardens. ONe garden that was originally a square is being adjusted so that one side is doubled in length, while the other side is decreased by 3 meters. The new rectangular garden will have an area that is 25% more than the original square garden. Write an equation that could be used to determine the length of a side of the original square garden.
Found 2 solutions by ikleyn, stanbon:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
2s*(s-3) = 1.25%2As%5E2.


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
New Clarendon Park is undergoing renovations to its gardens. ONe garden that was originally a square is being adjusted so that one side is doubled in length, while the other side is decreased by 3 meters. The new rectangular garden will have an area that is 25% more than the original square garden. Write an equation that could be used to determine the length of a side of the original square garden.
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Original dimensions:: x by x
Original Area:: x^2
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Changed dimensions:: (2x) by (x-3)
Changed Area:: 2x(x-3) = 2x^2-6x
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Equation:
changed area = 1.25*original area
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2x^2-6x = 1.25x^2
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Cheers,
Stan H.
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