The length of rectangle is given as [tex]length = \frac{x^4+2x^3+6}{x+2}[/tex]
Solution:
Given that,
Width of rectangle = x + 2
Area of rectangle = [tex]x^4+2x^3+6[/tex]
Length of rectangle = ?
The area of rectangle is given as:
[tex]\text{Area of rectangle } = length \times width[/tex]
Therefore, length is given as:
[tex]length = \frac{\text{Area of rectangle}}{width}[/tex]
Substituting the given values we get,
[tex]length = \frac{x^4+2x^3+6}{x+2}[/tex]
There are no common factors that could be cancelled. Also numerator cannot be factored further
Thus length of rectangle is given as [tex]length = \frac{x^4+2x^3+6}{x+2}[/tex]
