SOLUTION: An ecological center wants to set up an experimental garden using 300m of fencing to enclose a rectangular area of 5000m^2 Find the dimension of the garden

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Question 67503This question is from textbook
: An ecological center wants to set up an experimental garden using 300m of fencing to enclose a rectangular area of 5000m^2 Find the dimension of the gardenThis question is from textbook

Answer by stanbon(48568) About Me  (Show Source):
You can put this solution on YOUR website!
An ecological center wants to set up an experimental garden using 300m of fencing to enclose a rectangular area of 5000m^2 Find the dimension of the garden.
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Perimeter = 2l+2w=300
l+w=150
l=150-w
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Area = lw=5000
(150-w)*w = 5000
150w-w^2 = 5000
w^2-150w+5000=0
(w-100)(w-50)=0
w=100 or w=50
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If width = 100, length = 50
If width = 50, length = 100
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Cheers,
Stan H.