# Split the Pentominoes

Source

The image below shows a solved pentomino puzzle in a $6\times10$ grid.

Your challenge is to divide the rectangle along the black lines only to make two pieces that can be rearranged and fit together again to make the $7\times9$ rectangle below with three holes in it.

• Do you make the colored pentomino pattern in any software? Or just Paint-craft? Feb 11 '19 at 10:22
• @PrzemyslawRemin I used MS Excel, I think. Feb 11 '19 at 17:20

You can split the rectangle along a jagged line from the bottom left to the top right into two approximate triangles:

PPPLIIIII
PPSLLLL
SSSNNN
SFNN
FFF
F

T
TTT
XUUT
WXXXUV
YWWXUUV
YYYYWWVVV

Shifting the bottom-right triangle down and left one unit from its original location, we get a new 7x9 rectangle with three holes:

PPPLIIIII
PPSLLLL.T
SSSNNNTTT
SFNN.XUUT
FFFWXXXUV
F.YWWXUUV
YYYYWWVVV

• Can you edit to add an explanation to your answer? This is a bit incomprehensible at the moment. Dec 23 '16 at 13:25
• I edited it. I hope that helps. BTW, I always forget how to do preformatted text in spoilers. Sorry about that. Dec 23 '16 at 13:28
• That's alright ;-) Dec 23 '16 at 13:42

Not wanting to submit this as the correct answer but hoping to add clarification... @JaapScherphuis seems to have this one correct. The answer actually seemed a bit too obvious to me though...

The shapes to the bottom right of the original image have been cut and moved down and left, each by one square.

• You're right that it's not too hard of a puzzle. I just liked the idea of pentominoes. Dec 23 '16 at 13:51