I have 480 feet of fencing. I want to enclose a rectangular plot. what is the length and width of the plot that will maximize the area? What is the largest area that can be enclosed?

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Length and Width = 120 feetLargest Area = 14400 feetThis is assuming you are not building a fence sharing a border.  In that case,Length and Width = 160 feetLargest Area = 25600 feet