SOLUTION: The area of a rectangle is 160 square inches. The length is four less than three times the width. Find the dimensions of the rectangle. (Show this algebraically...including quadrat

Question 773780: The area of a rectangle is 160 square inches. The length is four less than three times the width. Find the dimensions of the rectangle. (Show this algebraically...including quadratic.)
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Width = x
Length = 3x - 4
Area of Rectangle = length * width
160 = (3x - 4)* x
160 = 3x^2 - 4x
3x^2 - 4x - 160 = 0
(3x + 20)(x - 8) = 0
3x + 20 = 0
3x = -20
x = -20/3 (no answer x < 0)
x - 8 = 0
x = 8
Width = 8ins
Length = 20ins
Hope this helps.
:-)
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