Innocent Bystander posted:It suggested to me that the four triangles in this basic shape will always be equal regardlee of the sizes of the squares - so as on this occasion I’d used a spreadsheet to do the calcs, before closing I substituted three random numbers for the areas of the squares - and yes, indeed, the four triangles come out with the same areas.

It's true that all 4 triangle will have the same area. In the case of Farmer Watts, this was 9 acres. This provides a very satisfying solution to the overall acreage of 100.

But putting **any** three **square** fields together in the form of the initial triangle, then adding the three external triangles leads to four new fields, each with the same area.

I haven't been able to find a neat set of initial fields, other than the 26, 20 and 18 that gives such a satisfyingly precise overall acreage as 100. One or two close ones, but not 100.