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

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