3x^2+9x what is the width of the rectangle, show your work.

Answer:
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of the given rectangle is expressed as 3x² + 9 square inches
The length of the given rectangle is expressed as 3x inches.
Width = Area/length
Therefore,
Width = (3x² + 9)/3x
Factorizing the numerator. It becomes
3(x² + 3)/3x
3 cancels out because it is common to the numerator and the denominator. Therefore,
Width = (x² + 3)/x
Width = x²/x + 3/x
Width = x + 3/x inches