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?

Its area is shared by 2x4.
Its perimeter is shared by 2x7, 3x6 and 4x5
Its diagonal is shared by 4x7.

You've cut yourself a 1x8 slice.

Posted by Bruce on 2003-09-26 09:23:31