Answer:
L = 2x^2
Step-by-step explanation:
Let's identify our terms and formulas first.
A is Area, W is Width, and L is Length. The formula for area is A = L * W
If A = x^3 - 4x^2, and W = x - 4, the we can substitute both of them into the formula for Length, L = A/W.
L = (x^3 - 4x^2)/(x-4)
Now, we start simplifying! Take the "x-4" out of the numerator, and it cancels with the one in the denominator. This leaves us with a simple 2x^2 in the numerator and a 1 in the denominator.
Our final answer is L(ength) = 2x^2
Hope this helps!
-Lacy