The perimeter of the parallelogram is 8√2.
In order to find this, we need to find the length between any of the points. You'll notice that you can create a right triangle between each set of consecutive points. As a result, you can draw the legs and use the Pythagorean Theorem. In each case, the legs will equal 2. So we find the length of the side as
Leg^2 + Leg^2 = Side^2
2^2 + 2^2 = s^2
4 + 4 = s^2
8 = s^2
√8 = s
2√2 =s
Now to find the perimeter, we multiply this length by 4.
4 * 2√2 = 8√2
