The width of the rectangle is [tex]\rm 5 (19x^2+6x-18)[/tex].
Given
The area of a rectangle is;
[tex]\rm Area = 5x^3(19x^2+6x-18)[/tex]
And the length is [tex]\rm x^3[/tex].
The area of the rectangle is given by;
[tex]\rm Area = length \times width[/tex]
Substitute all the values in the formula;
[tex]\rm Area = length \times width\\\\5x^3(19x^2+6x-18) = x^3 \times width\\\\Width = \dfrac{5x^3}{x^3} (19x^2+6x-18) \\\\Width = 5 (19x^2+6x-18)[/tex]
Hence, the width of the rectangle is [tex]\rm 5 (19x^2+6x-18)[/tex].
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