A homeowner is planning a garden and has 500 feet of fencing to use, one side of the garden will not require fencing but the other three sides need a fence.

Giving that the homeowner is planning a garden and has 500 feet of fencing to use.
We can see that the fencing requires two widths and one length for the diagram.
This would imply that:
[tex]l+2w=500[/tex]We can then create a table by substitute substituting the widths into the equation above. This would give the length, then we multipl