Henry Ernest Dudeney/Modern Puzzles/104 - The Square Table-Top

by : $104$

 * The Square Table-Top
 * A man had three pieces of beautiful wood, measuring $12$ units, $15$ units and $16$ units square respectively.
 * He wanted to cut those into the fewest pieces possible that would fit together and form a small square table-tip $25$ units by $25$ units.
 * How was he to do it?

adds:
 * I have found several easy solutions in six pieces, very pretty, but have failed to do it in five pieces.
 * Perhaps the latter is not possible.
 * I know it will interest my readers to examine the question.