# Is it possible to obtain a 12×12 carpet by cutting a 16×9 carpet once?

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?

• if you cut 144 equal sized square pieces this should work yes – marmouset Feb 20 '17 at 14:28
• @marmouset One cut! – Parcly Taxel Feb 20 '17 at 14:31
• If the breadth$=9$ units, how will it gain the other $3$ units? – Nick Pavini Feb 20 '17 at 14:36