What is the perimeter of a polygon with vertices at (-6,-1) (-3,-4) (6,5) and (3,8) ?

The formula of the distance between 2 points states that the distance AB between points A(a, b) and B(c, d) is found as follows:

                    .

Let the points of the polygon be A(-6,-1), B(-3,-4), C(6,5) and D(3,8). Then, the perimeter of the polygon ABCD is
                             
                                                   AB+BC+CD+DA.

We can find each of AB, BC, CD, DA by the Distance Formula as follows:

.

.

.

.

Thus, the perimeter of the polygon is 

            (units).

  units