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?
It must be 1x8.
2x4 has the same area;
2x7, 3x6 and 4x5 have the same perimeter,
4x7 has the same diagonal .
All other rectangles have either a distinctive area, perimeter or diagonal.
Edited on March 17, 2023, 11:55 pm