SOLUTION: The area of a rectangle of length x is given by 3x^2 + 5x. Find the width of the rectangle.

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Question 40722: The area of a rectangle of length x is given by 3x^2 + 5x. Find the width of the rectangle.
Answer by tutorcecilia(2152) About Me  (Show Source):
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The area of a rectangle of length x is given by 3x^2 + 5x. Find the width of the rectangle
Since the area of a rectangle is:
A = (length)(width) you will need two factors. One for the width and one for the length.
The easiest way is to factor 3x^2 + 5x:
(x)(3x + 5) Since (x) is the smallest factor it should be the width and (3x+5) will be the length.
To check, plug in the factors into the formula for an Area:
A = (length)(width)
A = (x)(3x + 5) = 3x^2 + 5x