Question

3. Find the height of rectangle with area (2x^2-9x+9) ft^2 and width (2x-3) ft

Answer 1

The height of the area is (x - 3) ft.

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:

`= (2x^2 - 9x + 9)/(2x - 3) \\\\= (2x^2 - 6x - 3x + 9)/(2x - 3) \\\\= (2x(x - 3) - 3(x - 3))/(2x - 3) \\\\= ((2x - 3)(x - 3))/(2x - 3) \\\\= x - 3`