SOLUTION: The length of a rectangular sheet of paper is 3 centimeters more than three times its width, and the area of the rectangle is 216 square centimeters. Find the length and width of t

Algebra ->  Rectangles -> SOLUTION: The length of a rectangular sheet of paper is 3 centimeters more than three times its width, and the area of the rectangle is 216 square centimeters. Find the length and width of t      Log On


   

Question 499122: The length of a rectangular sheet of paper is 3 centimeters more than three times its width, and the area of the rectangle is 216 square centimeters. Find the length and width of the rectangle.
Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
Width = w
Length = 3w + 3
(w)(3w + 3) = 216
3w%5E2 + 3w = 216
3w%5E2 + 3w - 216 = 0
3(w%5E2 + w - 72) = 0
3( w - 8) ( w + 9) = 0
w = 8 cm
l = 27 cm
8 * 27 = 216+cm%5E2
Cleomenius.