SOLUTION: Please help me solve this word problem: The dimensions of a rectangular monitor screen are such that its length is 3 in more than its width. If the length were doubled and if th

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Question 1006413: Please help me solve this word problem:
The dimensions of a rectangular monitor screen are such that its length is 3 in more than its width. If the length were doubled and if the width were decreased by 1 in., the area would be increased by 150 in squared. What are the length and width of the screen ?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
length(l) = width (w) + 3
area = (w + 3) * w
(2w + 6) * (w - 1) = (w^2 + 3w) + 150
2w^2 +4w -6 = w^2 +3w +150
w^2 +w -156 = 0
(w+13) * (w - 12) = 0
w = 12 or -13
We pick w = 12
The length = 15 in and width = 12 in of the screen