The state is trying to build a rectangular picnic area with one of the longer sides bordering a lake. Fencing is needed for the three sides not bordering the lake. Let x (in feet) be the width (shorter side) of the picnic area and let y (in feet) be the area of the picnic area. The final goal of this project is to find the dimensions which will maximize the area if the state has only budgeted only $6000 to buy the fencing at $10 per linear foot