To calculate the perimeter of the shape, we need to use the formula of distance between points:
[tex]\begin{gathered} AB=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2_{}} \\ AB=\sqrt[]{(3-0)^2+(-1-2)^2}=\sqrt[]{3^2+(-3)^2}=\sqrt[]{9+9}=\sqrt[]{18} \end{gathered}[/tex][tex]BC=\sqrt[]{(3-(-3)^2)+(-1-(-1))^2}=\sqrt[]{81}=9[/tex][tex]CA=\sqrt[]{(-3-0)^2+(1-2)^2}=\sqrt[]{9+1}=\sqrt[]{10}[/tex]The perimeter would be:
[tex]\sqrt[]{18}+9+\sqrt[]{10}[/tex]
