You have 3000 meters of fencing to create two fenced areas of the same size. The areas share a side and are to be built along the wall of an existing structure. You want the two areas to have the same dimensions and you want to maximize the area of the individual area.

1a) Write equation for the quantity you are optimizing.

1b) Write equation for the given information.

1c) Use the given information to write the equation in 1a in terms of a single variable x.

1d) What type of equation is this?

1e) Use algebra to find the value of x that maximizes your equation.

1f) State the length and width of each area.