Answer:
The height of the area is (x - 3) ft.
Step-by-step explanation:
You can do this a few ways. You could use long division to divide the area by the width, or you could just factor the area, which is guaranteed to have the width as a factor, leaving you with the height.
Let's go with factoring, as that's probably what this question is intended as:
[tex]= \frac{2x^2 - 9x + 9}{2x - 3} \\\\= \frac{2x^2 - 6x - 3x + 9}{2x - 3} \\\\= \frac{2x(x - 3) - 3(x - 3)}{2x - 3} \\\\= \frac{(2x - 3)(x - 3)}{2x - 3} \\\\= x - 3[/tex]
