SOLUTION: Iam trying to find the lenght and width of a rectangle. All i know is L=3w-8 and that Area = 35. Please help me sovle this.

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Question 438429: Iam trying to find the lenght and width of a rectangle. All i know is L=3w-8 and that Area = 35. Please help me sovle this.
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation: 35=w%283w-8%29 => 3w%5E2-8w-35=0, use the quadratic formula:
w=%288%2B-sqrt%28%28-8%29%5E2-4%2A3%2A%28-35%29%29%29%2F6 => +w=%288%2B22%29%2F6 = . w=5
Answer: The width is 5 cm and the length is:3x5-8=7 cm.
Check: A=LxW=7cm X 5cm =35cm%5E2.