SOLUTION: The length of a rectangular sheet of paper is 4 inches more than twice its width. If the area of the sheet is 160 square inches, what are its length and width? Use factoring to sol

Algebra ->  Rectangles -> SOLUTION: The length of a rectangular sheet of paper is 4 inches more than twice its width. If the area of the sheet is 160 square inches, what are its length and width? Use factoring to sol      Log On


   



Question 760419: The length of a rectangular sheet of paper is 4 inches more than twice its width. If the area of the sheet is 160 square inches, what are its length and width? Use factoring to solve the problem.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Width = x
Length = 4 + 2x
Area = length * width
160 = (4 + 2x)*x
160 = 4x + 2x^2
2x^2 + 4x - 160 = 0
Divide by 2
x^2 + 2x - 80 = 0
(x + 10)(x - 8) = 0
x = 8
x = - 10 (no answer)
Width = 8 inches
Length = 20 inches.
Hope this helps.
:-)