regular polygons Which hot tub shape gives the most butt-space? So, will they all have the same perimeter since they've all got the same area? Jill: No--even for triangles that didn't work-- remember? Joe: Oh, yeah. Well, I guess we just have to divide up the work then. Frank: What work? Joe: Well, we'll have to do a bunch of calculations for each shape--like try with the sides at 1 meter, 2