"What is the area? You should be able to solve this"

[Jim Horn]

Same answer, different approach - I considered the half-side segments (marked with the two short dashes) as of length "h" each and labeled all 9 vertices by their coordinates [0,0], [h,0], [2h,0], etc. Then found the areas of each of the four sections using the Shoelace Formula mentioned earlier here (thanks!). That gave me four equations in four unknowns. A bit of quick algebra gave h is the square root of 24 and the missing area as 28 for an overall area of 96. Fun - and thank you!