You are given a rectangular sheet of paper that is twice as long as it is wide.
You are also given a pair of scissors.
How can you cut the sheet of paper into two pieces such that the ratio of the length to the width is 1:2 in both pieces?
Note: you can only make one cut with the scissors.
This puzzle may seem tricky at first, but with a bit of creative thinking, you can solve it easily!
Here’s one way to approach it:
1. Start by folding the rectangular sheet of paper in half lengthwise (i.e., so that the two short edges meet). This will create a crease in the middle of the paper.
2. Unfold the paper, and then fold it again, this time widthwise (i.e., so that the two long edges meet). You should now have four sections of paper that are all the same size, separated by two creases.
3. Take your scissors and cut along one of the creases that runs parallel to the short edges of the paper. This will divide the paper into two pieces.
4. You should now have two pieces of paper that are both twice as long as they are wide. But how can you make sure that the ratio of length to width is 1:2 in both pieces?
5. Here’s the trick: take one of the pieces of paper and fold it in half lengthwise (i.e., so that the two short edges meet). Unfold it again, and you should see a crease running down the middle of the paper.
6. Cut along this crease with your scissors. This will divide the paper into two pieces that are both the same size and shape as the other piece you cut earlier.
7. Now you have four pieces of paper, all of which have a length-to-width ratio of 1:2!
So there you have it – with just one cut of the scissors, you can transform a rectangular sheet of paper into four pieces, all of which have the desired ratio of length to width.