This one isn't too bad...
Two tangents to a circle drawn from a point outside a circle are equal
So
JA =JB , AL = CL and CK = BK
So
JA + JB + AL + CL + CK + BK = the perimeter .....so....
14 + 14 + 15 + 15 + 13 + 13 =
2 [ 14 + 15 + 13] =
2 [ 42] =
84 = the perimeter
