TITLE: Is it possible to obtain a 12×12 carpet by cutting a 16×9 carpet once?
QUESTION [6 upvotes]: Yesterday my brother asked me a question. 

Suppose you have a carpet of size $16×9$. Now you have to cut this carpet in such a way that after cutting it and arranging pieces, the dimension is $12×12$. You can only cut the carpet once. You can arrange the obtained pieces in any way you like.
  How can you do this?

REPLY [4 votes]: Essentially the same problem appears in Boris Kordemsky's puzzle book, with the solution as below.