Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll help you assuming some things. First of all, for a two dimensional shape, the perimeter is defined as the distance around it. Suppose we have a rectangle whose dimensions are:
[tex]l=4x+9 \\ \\ w=2x-19 \\ \\ \\ l:Length \\ \\ w:Width \\ \\ \\ \text{So the perimeter is:} \\ \\ P=2l+2w \\ \\ P=2(4x+9)+2(x-19) \\ \\ P=8x+18+2x-38 \\ \\ P=(8x+2x)+(18-38) \\ \\ \boxed{P=10x-20}[/tex]
So in this context:
Correct option is D. 10x - 20