Find the perimeter of the parallelogram whose vertices are at (-2, 0), (0, -2), (2, 0), and (0, 2).

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