I have an irregular hexagon whose interior angles are all $2\pi/3$. That is, every pair of opposite edges are parallel. I have the distance between every pair of opposite edges, and I wish to find the perimeter of the hexagon. Intuitively, this seems possible, but I'm not sure how to do it. Also, is there a name for such a hexagon?
If that helps, I can also assume that every pair of opposite edges have the same length.
Many thanks, Adam