SOLUTION: There are cartons full of fencing. Each carton has 24 ft of fencing inside. If Amy wants to have a rectangular garden with the largest area possible what is the area

Question 975411: There are cartons full of fencing. Each carton has 24 ft of fencing inside. If Amy wants to have a rectangular garden with the largest area possible what is the area
Found 2 solutions by Boreal, stanbon:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
rectangle has l and w
l*w is a maximum
l*(24-l) is maximum
24l -l^2 is maximum when?
-l^2+24l=y
x=-b/2a = -24/-2=12
The rectangle with maximum area is a square with length and width 12. The area is 144 sq ft.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There are cartons full of fencing. Each carton has 24 ft of fencing inside. If Amy wants to have a rectangular garden with the largest area possible what
is the area?
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Area = length*width
A = x(24-x) = 24x-x^2
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A'(x) = 24-2x
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Solve:: 24-2x = 0
x = 12
24-x = 12
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Ans: Both width and length are 12'
The rectangle is a square.
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Cheers,
Stan H.
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