536 Puzzles and Curious Problems

Answers 403

you arrange the hurdles in the form of a square, as shown by the dotted lines,

you only get room for nine sheep.

496. THE TWENTY MATCHES

The illustration shows how two enclosures may be formed with 13 and 7
matches respectively, so that one area shall be exactly three times as large as

/~\ ..

·······::/:·--7

~0v

L

:·.. .. ···::·· ".. .... ... ';"'---'Q'".. ,

~·~G/·

the other, for one contains five of those little equilateral triangles, and the

other fifteen.

There are other solutions.

497. A MATCH PUZZLE

The illustration shows one of the
four distinctive ways of solving this
puzzle, with eleven, an odd number
of matches. If you first enclose an
outside row, as A, then you can en-
close the square, B, in any position,
and complete the solution with eleven
matches in all.