The following
represents a piece of wood in my
possession, 5 in. square.

By markings on the surface it is divided into
twenty-five square inches.

I want to discover a way of cutting this
piece of wood into the fewest possible pieces that will fit together
and form two perfect squares of different sizes and of known
dimensions.

But, unfortunately, at every one of the sixteen
intersections of the cross lines a small nail has been driven in at
some time or other, and my fret-saw will be injured if it comes
in contact
with any of these.

I have therefore to find a method of doing the work
that will not necessitate my cutting through any of those sixteen
points.

How is it to be
done?

Remember, the exact dimensions of the two
squares must be given.

See answer