Answer
$P=(4x^2+16x+2) \text{ units}$
Work Step by Step
Using $P=2w+2l$, then the perimeter of the given rectangle is
\begin{array}{l}\require{cancel}
P=2(2x^2+5x-3)+2(3x+4)
\\\\
P=4x^2+10x-6+6x+8
\\\\
P=4x^2+(10x+6x)+(-6+8)
\\\\
P=(4x^2+16x+2) \text{ units}
.\end{array}