Recall that the perimeter of a rectangle is given by:
[tex]P=2w+2l\text{.}[/tex]
Where l is the length and w is the width.
Therefore, the perimeter of the rectangle is:
[tex]P=2(3x+6)+2(2x-4)\text{.}[/tex]
Simplifying the above equation we get:
[tex]\begin{gathered} P=6x+12+4x-8, \\ P=10x+4. \end{gathered}[/tex]
Answer: The simplified expression for the perimeter of the rectangle is:
[tex]10x+4\text{ units.}[/tex]
