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## THE GARDEN WALLS.

(

Patchwork Puzzles)

A speculative country builder has a circular field, on which he has

erected four cottages, as shown in the illustration. The field is

surrounded by a brick wall, and the owner undertook to put up three

other brick walls, so that the neighbours should not be overlooked by

each other, but the four tenants insist that there shall be no

favouritism, and that each shall have exactly the same length of wall

space for his wall fruit trees. The puzzle is to show how the three

walls may be built so that each tenant shall have the same area of

ground, and precisely the same length of wall.

Of course, each garden must be entirely enclosed by its walls, and it

must be possible to prove that each garden has exactly the same length

of wall. If the puzzle is properly solved no figures are necessary.

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