Aunt Rody has nine wild geese in a big square pen. the trouble is, they are so wild they keep fighting; so she decides to separate them all. Where can she build two more square pens so that all the geese are separated?

Question

mathmate · Answer

You just need one more that overlaps with the existing one.
Build one which is the same size as the existing sitting on the same centre, but rotated 45 degrees.  You'll get an eight-pointed star with eight little pens together with the large central area for the Daddy goose.