Mary baked a rectangular cake. Merlin secretly carved out a small rectangular piece, ate it and vanished! The remaining cake has to be split evenly between Mary's two kids. How could this be done with only one cut through the cake?
Cut the slice at half the height rather than cutting it at length or width :-)
simply cut the cake in a line that joins the midpoint of the original rectangle and the missing rectangle.
Very nice problem!
If the knife is sufficiently long, the problem can still be solved even if both Merlin and Gandalf steal a piece. Just find the plane defined by the cake centre, Merlin's centre, and Gandalf's centre and cut along that.
cut it along the horizontal axis, so u get equal parts no matter how many chunks have been taken out ...
> cut it along the horizontal axis
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