Respuesta :

Answer:

34 [units].

Step-by-step explanation:

1) according to the property of parallelogram (AC=BD and AB=CD) the required perimeter can be calculated as P=2AB+2AC;

2) the length of AB=7 (the coordinates 'y' are equal);

3) the length of AC:

[tex]|AC|=\sqrt{(1+5)^2+(-2-6)^2}=10.[/tex]

4) finally, the required perimeter is:

P=2(7+10)=34 [units].