SOLUTION: An ecology center wants to set up an experimental garden using 300 m of fencing to enclose a rectangular area of 5000m2. Find the dimensions of the garden.
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Question 309811: An ecology center wants to set up an experimental garden using 300 m of fencing to enclose a rectangular area of 5000m2. Find the dimensions of the garden.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An ecology center wants to set up an experimental garden using 300 m of fencing to enclose a rectangular area of 5000m2. Find the dimensions of the garden.
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Equations:
LW = 5000
2(L+W) = 300
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L+W = 150
LW = 5000
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Solve by substitution:
L = 150-W
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(150-W)W = 3000
-W^2 + 150W - 3000 = 0
W^2 - 150W + 3000 = 0
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I graphed it and found W = 126.23
Then L = 23.77
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Cheers,
Stan H.
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