the length of a rectangle is 9 centimeters less than the width. what are the rectangles dimensions if the area is 220 centimeters?

Question

length and width along with the area

Answer 1

Let w = the width of the rectangle

Let w - 9 = the length of the rectangle

A = lw

220 = w(w - 9)

220 = w² - 9w

w² - 9w - 220 = 0

(w - 20)(w + 11) = 0

w - 20 = 0     or     w + 11 = 0

w = 20 cm    or     x = -11, illogical answer

w - 9 = 20 - 9 = 11 cm