84 Geometrical Problems
A 11> e 1)have made twenty squares (twelve
with sides of the length A B, six with
sides A C, and two with sides of the
length A D). In the second diagram,
although I use one more line, I only
get seventeen squares. So, you see,
everything depends on how the lines
are drawn. Remember there must be
exactly one hundred squares-neither
more nor fewer.- MR. GRINDLE'S GARDEN
"My neighbor," said Mr. Grindle,
"generously offered me, for a garden,
as much land as I could enclose with97 A 8
loOfour straight walls measuring 7, 8, 9,
and 10 rods in length respectively."
"And what was the largest area
you were able to enclose?" asked his
friend.
Perhaps the reader can discover
Mr. Grindle's correct answer. You
see, in the case of three sides the tri-
angle can only enclose one area, but
with four sides it is quite different.
For example, it is obvious that the
area of Diagram A is greater than
that of B, though the sides are the
same.- THE GARDEN PATH
This is an old puzzle that I find frequently cropping up. Many find it per-
plexing, but it is easier than it looks. A man has a rectangular garden, 55 yds.
by 40 yds., and he makes a diagonal path, one yard wide, exactly in the man-