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.
Before giving up I wanted a fairly representative figure to start drawing right angles within. So I cut out long rectangular stencils of width 27, 31, and 38 and rotated each atop the other (could have use PowerPoint I guess). Nothing seemed to make a perfect equilateral, so I quit. Maybe I came close - don't know.
Edited on September 9, 2020, 12:52 pm
where I stopped
