Professor Layton and the Curious Village/Puzzles 76-100

Puzzle 076

 * Name:A Tile Square
 * Trigger:Talk to mad guy by park
 * Location:by park
 * Chapter:
 * Picarats:24

Description:You have at your disposal a large number of tiles like the one shown below. If you were to take these tiles and try to make a square, what is the smallest number of tiles you'd need?

Of course the puzzle doesn't end there. You'll need to do a little creative thinking in order to find the smallest number of tiles that allow you to form a square.
 * Hint 1: Since the tiles have a different length and width, you'll need to find a number that can be divided by both dimensions.
 * Hint 2: Don't forget the puzzle also gives you the thickness of the tiles.
 * Hint 3: As the sides of the tiles are 10 and 12 inches long, the smallest common multiple of the two works out to 60. Therefore, you'll need to arrange a 5x6 tile square. That's a total of 30 tiles. Simple, right? Too simple, in fact. There's a way to make a square using even fewer tiles.

Answer:20 The key to this problem is realizing that the tiles have depth to them.Once you understand that you have a third dimension to work with,the rest should fall into place for you.