Originally posted by FabianFnas
Can you cut a chess board into four rectangles so they have the ratios 1:1, 1:2, 1:3 and 1:4 respectively?
You cannot cut squares in parts.
To cut the board into 4 rectangles, we must make 3 paralle cuts or 2 perpendicular cuts.
The first option is impossible since the 1:1 rectangle is a square.
The second option is impossible since the rectangle having no common edge with the 1:1 rectangle is a square, but 1:2, 1:3, 1:4 are not squares.
So there is no solution, even if cutting squares in parts is allowed.