Arranging the Tables

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

There are $44$ people coming to a dinner party. There are $15$ square tables that seat 4 people - one at each side - like this:


Or the tables can be joined together to make groups like this:


And so on...

Find a way to seat the $44$ people using all $15$ tables, with no empty places.


Published October 1999.