SOLUTION: A rectangle has a length of 13 inches less than 6 times its width. If the area of the rectangle is 6105 square inches, find the length of the rectangle.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A rectangle has a length of 13 inches less than 6 times its width. If the area of the rectangle is 6105 square inches, find the length of the rectangle.      Log On


   

Question 1032474: A rectangle has a length of 13 inches less than 6 times its width. If the area of the rectangle is 6105 square inches, find the length of the rectangle.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A rectangle has a length of 13 inches less than 6 times its width. If the area of the rectangle is 6105 square inches, find the length of the rectangle.
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Area = width*length
6105 = w*(6w-13)
6w^2 - 13w - 6105 = 0
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graph%28400%2C400%2C-50%2C50%2C-500%2C500%2C6x%5E2-13x-6105%29
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Positive solution::
width = 33
length = 6w-13 = 185
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Cheers,
Stan H.