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
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 sid
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