Consider the farmer in Exercise 7 whose field borders the river. Assume he wants the area of the plot to be 800 square feet. What should its dimensions be if he wants to use the least amount of fencing?
Exercise 7
(a) A farmer has a field bordering a straight river. He wants to design a rectangular plot for an organic crop with the river acting as a natural border. If 400 feet of fencing will be used on the three other sides, what should the dimensions of the plot be if its area is to be maximized?
(b) What are the dimensions if the river side is also to be fenced?