Answer
16
Work Step by Step
Graph the points:
We determine MN,NP,PL,LM using the distance formula:
MN=$\sqrt (5-3)^2+(1-5)^2$ =$\sqrt 4$ =2
NP=$\sqrt (5-5)^2+(1-5)^2$ =$\sqrt 16$ =4
PL= $\sqrt (5-0)^2+(1-1)^2$ =$\sqrt 25$ =5
LM=$\sqrt (3-0)^2+(5-1)^2$ = $\sqrt 25$=5
Compute the triangle's perimeter:$P_{MNPL}$= MN+NP+PL+LM=2+4+5+5=16