l3. Maximizing area. A lifeguard needs to rope off a rec- tangular swimming area in front of Long Lake Beach, using 180 yd of rope and oats. What dimensions of the rectangle will maximize the area? What is the maximum area? (Note that the shoreline is one side of the rectangle.) 15. Maximizing area. A carpenter is building a rectangular shed with a fixed perimeter of 54 ft. What are the dimen- sions of the largest shed that can be built? What is its area