To find the perimeter we have to find the distance between each pair of points and add them. Therefore, we get that:
[tex]\begin{gathered} d_{12}=\sqrt[]{(-3-2)^2+(-1-3)^2}=\sqrt[]{25+16}=\sqrt[]{41}\approx6.4 \\ d_{23}=\sqrt[]{(2-5)^2+(3-2)^2}=\sqrt[]{9+1}=\sqrt[]{10}\approx3.2 \\ d_{13}=\sqrt[]{(-3-5)^2+(-1-2)^2}=\sqrt[]{64+9}=\sqrt[]{73}\approx8.5 \\ P=d_{12}+d_{23}+d_{13}=6.4+3.2+8.5=18.1\approx18 \end{gathered}[/tex]so the perimeter is 18