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Homework 10: Due Wednesday 7/2/14 1. A farmer wants to build a rectangular pen for his sheep. He wants to use 400 feet of fence. • Draw a rectangle and label its length and width. • Express the area of the pen as a function of its width. • What do the dimensions of the pen have to be if the farmer want the area of the pen to be 199 square feet? • Is this a realistically sized pen? 2. This time a farmer wants to use 200 feet of fence to enclose a rectangular plot that is against a wall. (This means you do not have to worry about one of the sides.) Here is a drawing: • Express the area of the the plot in terms of the width. • What do the dimensions of the plot have to be if the farmer wants the area of the plot to be 5000 square feet? 1