continued 4 Xuli is building a rectangular patio in the backyard. She is laying cement and needs to determine how much cement she should buy if she wants to maximize the area for the patio. The perimeter of the patio must equal 40 feet. Complete the table to show the length of the patio for each given width. Width 2.5 5 10 15 17.5 20 (feet) Length (feet) Define the function /(w) to represent the length of the patio as a function of the width. Define the function A(w) to represent the area of the patio as a function of the width. Determine the maximum area of the patio as well as the length and width that will result in the maximum area.

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