Given:
The width of a rectangle, w= 4n -5.5 feet.
The length of a rectangle, l= 5.5n+7 feet.
The perimeter of the rectangle is,
[tex]\begin{gathered} P=2(l+w) \\ P=2(5.5n+7+4n-5.5) \\ P=2(9.5n+1.5) \\ P=19n+3 \end{gathered}[/tex]Therefore, the perimeter of the rectangle is 19n+3.
