Re: Roll a Penny Game

On Wed, 4 Jun 2025 08:53:15 -0000 (UTC), David Entwistle wrote:

You have been given the job of designing the "roll a penny" game for
your school's summer fair.

There is a possibly(?) related question "195. - Lady Belinda's Garden" in
Henry Dudeney's Amusements in Mathematics, for which I haven't yet arrived
at a solution.

... "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"...

There is then a picture showing one rectangle inside another rectangle,
with a constant-width-space, representing the path, between the two.

"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 her 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 haw many lady gardeners would know just how to proceed? The tape may
be quite plain - that is, it need not be a graduated measure".

--
David Entwistle