the area of a rectangular garden is 96 square meters. the width is 4 meters longer than one-third of the length. find the length and width of the garden. use the formula, area=length• width

Answer 1

Let L = length and W = width

W = 4 + (1/3)L => L = 3W - 12

Area = 96 = W(3W - 12) = 3W² - 12W

3W² - 12W - 96 =0 => W² =4W - 32 = 0

This factors easily and gives you the correct answer and extraneous root. Have at it!