1
$\begingroup$

How can I cut a $1 \times 10$ rectangle $7$ times so that I can receive a square?
I have tried doing it, but wasted lots of paper.

  • 0
    Can the structures be piled up one above other?? You need one square or 10 squares of same dimension?? – 2017-02-28

2 Answers 2

3

1x10

Worth a thousand words, they say.

  • 0
    Nice – but the question said to cut the rectangle seven times. – 2017-02-28
  • 2
    Come on. You can make as many unnecessary cuts as you want, then glue them back. – 2017-02-28
1

The solution in the linked image uses 4 cuts. None of the pieces needs to be rotated.

It is generated using a dissection based on a strip: imagine layering the long, thin rectangle across the square and cutting at the edges of the square.

Rectangle to square

If exactly 7 cuts are needed, the extra cuts can be added arbitrarily.