Solved: Geometry A regulation NFL playing field (including the end zones) of length and

Chapter 1, Problem 85

(choose chapter or problem)

Geometry A regulation NFL playing field (including the end zones) of length and width has a perimeter of or yards. (a) Draw a rectangle that gives a visual representation of the problem. Use the specified variables to label the sides of the rectangle. (b) Show that the width of the rectangle is and its area is (c) Use a graphing utility to graph the area equation. Be sure to adjust your window settings. (d) From the graph in part (c), estimate the dimensions of the rectangle that yield a maximum area. (e) Use your schools library, the Internet, or some other reference source to find the actual dimensions and area of a regulation NFL playing field and compare your findings with the results of part (d).