Sir
Hugh's young kinswoman and ward, Lady Isabel
de
Fitzarnulph, was
known far and wide as "Isabel the Fair."
Amongst her treasures was a
casket, the top of which was perfectly square in shape.
It was inlaid
with pieces of wood, and a strip of gold ten inches long by a quarter
of
an inch wide.
When
young men sued for the hand of Lady Isabel,
Sir Hugh
promised his
consent to the one who would tell him the dimensions of the top of the
box from these facts alone: that there was a rectangular strip of gold,
ten inches by 1/4-inch; and the rest of the surface was exactly inlaid
with pieces of wood, each piece being a perfect square, and no two
pieces
of the same size.
Many
young men failed, but one at length succeeded.
The
puzzle is not an easy one, but the dimensions of that strip of gold,
combined with those other conditions, absolutely determine the size of
the top of the casket.
See answer