Hello, Tweety!

You have a given length of fence.

Using the wall of a house as one side of a rectangular fence, how would you place

the fence around the other three sides in order to enclose the largest possible area? Code:

~ * ~ ~ ~ ~ ~ * ~
| |
x | | x
| |
* - - - - - *
y

The amount of fencing is a constant, feet.

. . So we have: . .[1]

The area of the region is: . .[2]

Substitute [1] into [2]: .

This is a parabola that opens downward.

. . Its maximum is at its vertex.

The vertex is at: .

. . So we have: .

We will use feet (a quarter of the fencing) for each of the two shorter sides

. . and the rest, feet, for the long side.