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7 1 7 7 7 7 1 7 1 } 7+1 8 7 1 15 8 7 1 9 15 8 7 1 10 9 15 4 8 7 1 10 9 15 18 4 14 8 7 1 10 9 7 1 A rectangle built from 9 squares 1 A rectangle built from 9 squares 3 1 43 34 A rectangle or square built from 11 squares. 8 6 7 2 4 A rectangle or square built from 22 squares. 3 9 35 A rectangle or square built from 24 squares. 33 14 35 19 29 37 A square built of the fewest different squares. 15 24 9 7 6 4 1 15 x 24 9 I made a mistake posting this puzzle the first time. I wrongly put a 5 in this square! See that the two squares with an X will always have the same size! 7 5 4 1 x Thanks to Kaela Worrell’s daughter for finding this! I only half apologize for my mistakes. Finding impossible problems and proving that they are impossible is a very rich activity! In my own classes I purposely do it, but this, alas was an unintentional mistake. Ouch ;-)