## geerky42 one year ago I am stumped on this puzzle: How many 3x1 pieces can fit on 8x8 board without overlapping? Since $$\frac{64}{3} = 21.\overline3$$, the answer may be $$21$$, but no matter how I place and arrange 3x1 pieces, I cannot fit 21th piece. So is it really $$20$$? If so, what do I need to know to be able to show that?

1. geerky42

Any ideas, guys? @Loser66 @amistre64 @abb0t @jim_thompson5910 @ganeshie8

2. triciaal

I think 20 - 3 x 1 pieces. the left over is 1 - 2 x 2 piece

3. triciaal

|dw:1432959333256:dw|

4. triciaal

new thought can the 3 by 1 be triangles ?

5. geerky42

Never mind, I finally figured out... Sorry for inconvenience, guys.

6. geerky42

|dw:1432956116326:dw|

7. geerky42

$$\color{blue}{\text{Originally Posted by}}$$ @triciaal new thought can the 3 by 1 be triangles ? $$\color{blue}{\text{End of Quote}}$$ What do you mean?

8. geerky42

3x1 has to be straight, no "L shape"

9. triciaal

thanks. thanks for sharing the solution too

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