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:
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.
