Puzzle 137 – Matchstick Puzzle

I turned 19 today!

There are 19 matchsticks arranged in the shape of the number 19 below. You can ignore the colors, which is to show the 19. You can also ignore the fact that they are matchsticks, which is to say, you may not break them, burn them, use their thickness to solve the puzzles, and should just treat them as movable line segments.

At the start, there is only 1 rectangle, and it has area 4. There are 2 puzzles, the 1st is somewhat easier. Reset the matches back to the original position before starting the 2nd. (Don’t move 5 from the position which solved the 1st puzzle.)

1.) Move  3 matchsticks so that the sum of the areas of all rectangles formed is exactly 19.

2.) Move 5 matchsticks, so that there are exactly 19 rectangles.

Both puzzles are probably unique (besides some trivial differences in the second), but it’s hard for me to guarantee that.



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