Caleb has seven 3-foot fence sections and would like to use them all to create a rectangular garden. How should Caleb use the fence sections to create a garden with the most area? Use the formula for the area of a rectangle, [math]A = lw[/math].

[list=1][br][*]Assign a variable to the number of fence sections needed to create the maximum area.[br][*]Write a function model for the area of the garden.[br][*]Use a graphing calculator to generate a table of data for different values of [math]x[/math].[br][*]Use the table of values to determine the maximum value(s) of [math]x[/math].[br][*]Use the results of step 4 to determine the maximum area of the garden.[br][*]Explain how Caleb should use the fence sections to create a garden with the most area. Refer to the domain of [math]x[/math] in your explanation.[br][/list][br][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url=http://www.walch.com]www.walch.com[/url] for more information.