awrinkleintime31
awrinkleintime31 awrinkleintime31
  • 03-09-2019
  • Mathematics
contestada

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

Respuesta :

LacyGirl2015
LacyGirl2015 LacyGirl2015
  • 03-09-2019

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

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