Problem #PRU-87967

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Problem

In Neverland, there are magic laws of nature, one of which reads: “A magic carpet will fly only when it has a rectangular shape.” Frosty the Snowman had a magic carpet measuring 9×12. One day, the Grinch crept up and cut off a small rug of size 1×8 from this carpet. Frosty was very upset and wanted to cut off another 1×4 piece to make a rectangle of 8×12, but the Wise Owl suggested that he act differently. Instead he cut the carpet into three parts, of which a square magic carpet with a size of 10×10 could be sown with magic threads. Can you guess how the Wise Owl restructured the ruined carpet?