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31 July, 19:21

The area of a rectangle is 6x^2 - 5x-4. The width is 2x+1. What is the length

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  1. 31 July, 20:48
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    Begin with the formula for the area of a rectangle:

    Area of rectangle = length times width

    6x² - 5x - 4 = length * (2x + 1) ← substituted known expressions

    (3x - 4) (2x + 1) = length * (2x + 1) ← factored the trinomial

    3x - 4 = length ← divided both sides of the equation by (2x + 1)

    Answer: Length of the rectangle is 3x - 4
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