Question 62777
2*length+2*width=300
Divide thru by 2 to get:
length+width = 150
Solve for width:
width=150-length
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Let the length be "x".
Then the width = "150-x"
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Area=(length)(width)
Area=x(150-x)
Area=-x^2+150x
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This is a quadratic with a=-1 and b=150
Maximum area occurs when x=-b/2a
x=-150/(-2)=75
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Dimensions are
width = 75 ft.
length = 150-75=75 ft.
The maximum area is 75^2=5625 sq ft.
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Cheers,
Stan H.