SOLUTION: Just a random question: "Originally a rectangle was twice as long as it was wide. When 4 m were added to its length and 3 m subtracted from its width, the resulting rectangle had

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Just a random question: "Originally a rectangle was twice as long as it was wide. When 4 m were added to its length and 3 m subtracted from its width, the resulting rectangle had       Log On


   



Question 250847: Just a random question: "Originally a rectangle was twice as long as it was wide. When 4 m were added to its length and 3 m subtracted from its width, the resulting rectangle had an area of 600 m (squared). Find the dimensions of the new rectangle."
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
(2x + 4) (w - 3) = 600

2w^2 - 2w - 612 = 0 ___ w^2 - w - 306 = 0

(w + 17) (w - 18) = 0 ___ w = 18

L = 2w + 4 = 40

W = w - 3 = 15