195.--LADY BELINDA'S GARDEN.

Lady Belinda is an enthusiastic gardener. In the illustration she is

depicted in the act of worrying out a pleasant little problem which I

will relate. One of her gardens is oblong in shape, enclosed by a high

holly hedge, and she is turning it into a rosary for the cultivation of

some of her choicest roses. She wants to devote exactly half of the area

of the garden to the flowers, in one large bed, and the other half to be

a path going all round it of equal breadth throughout. Such a garden is

shown in the diagram at the foot of the picture. How is she to mark out

the garden under these simple conditions? She has only a tape, the

length of the garden, to do it with, and, as the holly hedge is so thick

and dense, she must make all her measurements inside. Lady Belinda did

not know the exact dimensions of the garden, and, as it was not

necessary for her to know, I also give no dimensions. It is quite a

simple task no matter what the size or proportions of the garden may be.

Yet how many lady gardeners would know just how to proceed? The tape may

be quite plain--that is, it need not be a graduated measure.

[Illustration]

Amusements in Mathematics · 第 225 / 970 题