I cut myself a rectangle out of a chessboard. (All cuts were along the square lines, so the rectangle has integer sides.)

Were I to tell you either its area, or its perimeter, or the length of its diagonal, you wouldn't be able to determine the dimensions of the rectangle.

What's its size?

Since the area is not unique, one of the sides must be a composite number. This cuts the number of cases down a lot. In this case, it was enough that I could just look at the list of edge squares (1,4,9,...,64) and pretty quickly find that 1x8 works.

Posted by Brian Wainscott on 2003-09-26 11:09:57