117.--A FENCE PROBLEM.

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The practical usefulness of puzzles is a point that we are liable to

overlook. Yet, as a matter of fact, I have from time to time received

quite a large number of letters from individuals who have found that the

mastering of some little principle upon which a puzzle was built has

proved of considerable value to them in a most unexpected way. Indeed,

it may be accepted as a good maxim that a puzzle is of little real value

unless, as well as being amusing and perplexing, it conceals some

instructive and possibly useful feature. It is, however, very curious

how these little bits of acquired knowledge dovetail into the

occasional requirements of everyday life, and equally curious to what

strange and mysterious uses some of our readers seem to apply them.

What, for example, can be the object of Mr. Wm. Oxley, who writes to me

all the way from Iowa, in wishing to ascertain the dimensions of a field

that he proposes to enclose, containing just as many acres as there

shall be rails in the fence?

The man wishes to fence in a perfectly square field which is to contain

just as many acres as there are rails in the required fence. Each

hurdle, or portion of fence, is seven rails high, and two lengths would

extend one pole (16½ ft.): that is to say, there are fourteen rails

to the pole, lineal measure. Now, what must be the size of the field?

Amusements in Mathematics · 第 139 / 970 题