Looking at the graph, we see that a(-9,4), b(-4,-3), c(2,-4), and d(9,1).

Using the pythagorean theorm or the distance formula (either is okay), we see that:

Distance from a to b=sqrt(74)

Distance from b to c=sqrt(37)

Distance from c to d=sqrt(74)

Distance from d to a=3sqrt(37)

Therefore our final answer= 4sqrt(37)+2sqrt(74).