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

9514 1404 393

Answer:

width = 6x²

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=(24x^4+72x^3)/(4x^2+12x)=(24x^3(x+3))/(4x(x+3))\\\\ \boxed{W=6x^2}`

The width of the rectangle is 6x².