SOLUTION: She have 25 feet of fencing. If she wants to have the greatest area possible, how long should her garden be? How wie should it be?

Question 432784: She have 25 feet of fencing. If she wants to have the greatest area possible, how long should her garden be? How wie should it be?
Found 2 solutions by josmiceli, Gogonati:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the length =
The width is then

The peak (maximum area) occurs at
where

The length should be 6.25
and

The width should be 6.25
Note that and

Here's the plot:

Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
Let's x feet the length of your garden.Then the width will be:feet.
And the area will be: , we can write it in the form:
, that represent a downward parabola, where the value of
its vertex is the maximum area. We find the vertex.
.
If you want the maximum area, fens a square with side 25/4 feet.
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