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A Strip of Paper is a puzzle in Professor Layton and the Diabolical Box.

Puzzle

US Version

After trying to fold a strip of paper in half, you notice that one side of the folded strip is one inch longer than the other. Determined to get it right, you fold the strip again, only to discover that now the other end of the folded strip is an inch longer than the other.

Now that you've made two folds along your strip, figure out what the distance between the two folds is when expressed in tenths of an inch.

UK Version

After trying to fold a strip of paper in half, you notice that one side of the folded strip is one centimetre longer than the other. Determined to get it right, you fold the strip again, only to discover that now the other end of the folded strip is one centimetre longer than the other.

You've now made two fold creases in the strip. What is the distance in millimetres between the two creases?

Hints




Click a Tab to reveal the Hint.

US Version

Think about how much longer one side of the strip was compared to the other one after the first fold.

UK Version

Think about how much longer one "half" of the strip was compared to the other one after the first fold.

US Version

Remember, you're being asked to answer in tenths of an inch.

UK Version

Remember, you're being asked to answer in millimetres.

US Version

Consider the location of the first fold your starting point. The second fold must have been positioned one inch away from this location.

Does that clear things up for you?

UK Version

Consider the location of the first fold. The second fold must have been positioned one centimetre away from this location.

Does that clear things up for you?


Solution

Incorrect

Too bad!

Start by considering where the first fold along the paper strip must be positioned.

Correct

That's right!

US Version

The distance between the folds is one inch, or 10 tenths of an inch.

If you're having trouble visualizing this, picture that the matchbox shown above has a height of one inch.

Image that the areas where one side of the box connects to the top and bottom are the folds in the strip, and you can see how the excess length in both folds can be represented by the other side.

UK Version

The distance between the creases is one centimetre, or 10 millimetres.

If you're having touble visualising this, imagine that the matchbox shown above has a height of one centimetre.

Now image that one of the matchbox's sides was removed. It looks just like your strip of paper after being folded twice! The excess length of your folds is represented by the remaining side.

DB024S

A big thanks to http://professorlayton2walkthrough.blogspot.com

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