Sunday Times Teaser 2654 – Square Cut
by Andrew Skidmore
I started with a rectangular piece of paper one metre long and more than half a metre wide and used a single straight cut to divide it into a square and a remainder.
I took the remainder and cut it in the same way to produce another square and a remainder. I did this repeatedly until the remainder was itself a square.
As a result the original rectangle had been divided into six squares whose sides were all whole numbers of centimetres.
What was the width of the original piece of paper?