SOLUTION: Find the length and the width of a rectangular garden for a horticultural designer who wants to enclose an area as large as possible with 500 feet of wires

Question 575194: Find the length and the width of a rectangular garden for a horticultural designer who wants to enclose an area as large as possible with 500 feet of wires
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
This can be done without calculus.
I assume this is pre-calculus.
Let the sides be , , , and
Let = area

Because of the minus in front of the term,
this curve has a maximum and not a minimum.
The maximum occurs at when the
equation has the form

and

So the dimensions that maximize the area are A = 125 x 125
which is a square. ( This is always true when you are maximizing a
rectangular area )
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