Given that the area of the
rectangular floor is represented by the expression [tex]12x^3 + 18x^2 - 24x[/tex] and the length of the floor is 6x,
Then the width of the floor is given by dividing 12x^3 + 18x^2 - 24x by 6x.
[tex]12x^3 + 18x^2 - 24x=6x(2x^2+3x-4)[/tex]
Therefore, the width of the floor is [tex]2x^2+3x-4[/tex]