We need to know the value of the sides, we have two right triangles we will use the Pythagoras theorem.
The first triangle
[tex]c=\sqrt[]{3^2+5^2}=\sqrt[]{34}[/tex]
the second triangle
[tex]c=\sqrt[]{5^2+9^2}=\sqrt[]{106}[/tex]
The perimeter is
[tex]2\sqrt[]{34}+2\sqrt[]{106}=32.25[/tex]
