Math Puzzle - THE PUZZLE WALL.

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THE PUZZLE WALL.

(Patchwork Puzzles)
There was a small lake, around which four poor men built their cottages.
Four rich men afterwards built their mansions, as shown in the
illustration, and they wished to have the lake to themselves, so they
instructed a builder to put up the shortest possible wall that would
exclude the cottagers, but give themselves free access to the lake. How
was the wall to be built?

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