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Here is the Solution


Cut the Cake

How would you cut a rectangular cake into two equal pieces when a rectangular piece has already been cut out of it? The cut piece can be of any size and orientation. You are only allowed to make one straight cut.

SOLUTION : In general, when a straight cut is made at any angle through the center of a rectangle, the resulting pieces are always of equal area.

So, if you make a cut along the line that joins the centers of the cake and center of piece that has been already cut, the cake will get divided into two equal parts and so does the missing part. Half the cake minus half the missing part gives you half of the remaining cake. So, you get two equal portions of cake.

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