My Solution: Yes, if I knew what a pentagon was.

Puzzle II

A and B agree to hold a walking match across an open meadow, each
seeking the shortest line. A, walking from corner to corner, may
be said to diangulate the hypotenuse of the meadow. B, allowing
for a slight rise in the ground, walks on an obese tabloid. Which
wins?

My Solution: Frankly, I don't know.

Puzzle III

(With apologies to the Strand.)

A rope is passed over a pulley. It has a weight at one end and a
monkey at the other. There is the same length of rope on either side
and equilibrium is maintained. The rope weighs four ounces per foot.
The age of the monkey and the age of the monkey's mother together
total four years. The weight of the monkey is as many pounds as the
monkey's mother is years old. The monkey's mother was twice as old as
the monkey was when the monkey's mother was half as old as the monkey
will be when the monkey is three times as old as the monkey's mother
was when the monkey's mother was three times as old as the monkey.
The weight of the rope with the weight at the end was half as much
again as the difference in weight between the weight of the weight
and the weight of the monkey. Now, what was the length of the rope?