Question 400042: a)A rectangle has an area given by A = x^2 + 5x + 6
Find an expression for the possible length of the rectangle.
B) A rectangle has an area given by A = x^2 + 5x + 6
Find an expression for the possible width of the rectangle.
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Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! a)A rectangle has an area given by A = x^2 + 5x + 6
Find an expression for the possible length of the rectangle.
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I think you're expected to factor, and say the factors are the possible lengths and widths.
x^2 + 5x + 6 = (x+2)*(x+3)
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However, the length can be any value, and the width is (x^2 + 5x + 6)/length.
eg, L = 1, W = x^2 + 5x + 6
L = 2, W = (x^2 + 5x + 6)/2
L = 75, W = (x^2 + 5x + 6)/75
L = q, W = (x^2 + 5x + 6)/q
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Not a reasonable problem.
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B) A rectangle has an area given by A = x^2 + 5x + 6
Find an expression for the possible width of the rectangle.
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