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the area of a rectangle is (x^3-4x^2) square units and the width is (x-4) units what is the length

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

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068