Answer:
16.97
Step-by-step explanation:
[tex]BF=\sqrt{(-2-0)^2 + (1-3)^2}=2\sqrt{2} \\ \\ BC=\sqrt{(0-4)^2 + (3-(-1))^2}=4\sqrt{2}[/tex]
So, the perimeter is
[tex]2(4\sqrt{2}+2\sqrt{2})=12\sqrt{2} \approx 16.97[/tex]