A certain convex hexagon is equilateral but not equiangular. Its opposite sides are also parallel, and separated by distances of 27, 31 and 38.

Find the area of this hexagon.

(In reply to where I stopped by Steven Lord)

I can assure you the hexagon does exist.  Hint: two of its angles are acute.  Also, I solved it by drawing right triangles on the outside.  

Posted by Jer on 2020-09-12 12:34:50