A rectangle has a length of 22 yards less than 3 times its width. If the area of the rectangle is 3096 square yards, find the length of the rectangle.

Answer 1

Let L = length and W = width

L = 3W - 22

Area = LW = 3096 = (3W-22)W = 3W² - 22W

Therefore, 3W² - 22W - 3096 = 0

The quadratic formula fives an extraneous root and W = 36.

You figure what W is!