Question

Length of a rectangle is 4x^2 + 12x and the area of the rectangle is 24x^4 + 72x^3, what is the width of the rectangle.

plz help

Answer 1

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Answer:

  width = 6x²

Step-by-step explanation:

We can use the given values in the area formula and solve for width.

  $A=LW\\\\(24x^4+72x^3)=(4x^2+12x)W\\\\ W=\dfrac{24x^4+72x^3}{4x^2+12x}=\dfrac{24x^3(x+3)}{4x(x+3)}\\\\ \boxed{W=6x^2}$

The width of the rectangle is 6x².