Geometry A soccer playing field of length and width has a perimeter of 360 meters. (a)

Chapter 1, Problem 74

(choose chapter or problem)

Geometry A soccer playing field of length and width has a perimeter of 360 meters. (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 Major League Soccer field and compare your findings with the results of part(d).