Problem of The
Day
Sheet Cake
Andrew’s
cake measures 18 inches by 20 inches.
The cake sat on the table in front of Andrew with the 18-inch sides on
the left and right. Andrew cut off
pieces of the cake measuring 2 inches by 2 inches and served them to the guests
at his party. His friends all like
sugar, so he cut off side pieces, starting at the bottom right, and worked his
way clockwise all the way around the cake.
After he cut off the last side piece, he continued cutting and serving
in a clockwise spiral starting from the bottom right. What was the original location of the last
piece he served?