Final answer:
The question seems to have a typo as the variables for the area and width do not match. To find the length, one would normally divide the area by the width, but this cannot be done accurately with mismatched variables.
Step-by-step explanation:
To find the length of the rectangle given the area and the width, we can use the formula for the area of a rectangle, which is area = length × width. In this case, the given area is 5x^2 - 7x - 6 and the width is given as (n-2). To find the length, we divide the area by the width.
Now, dividing the polynomial by (n-2) should give us the length, but as we can see, the width is not in terms of x, which suggests there has been a typo in stating the width or the area. Assuming the width is correctly given in terms of n, and there was a mistake in expressing the area polynomial, we cannot directly find the length since the variable in the width does not match the variable in the area.
The question or the options provided might have a typo, and without the correct expressions, we cannot determine the length accurately. Please review and provide the correct expressions so that a proper division can be performed to find the length of the rectangle.