Cutting squares

Geometry Level 3

A square piece of paper is folded in half several times as follows:

  • Top half is folded down
  • Left half is folded to the right
  • Top half is folded down

(You are left with a folded up paper that is 1 8 \frac{1}{8} of the area and 8 8 times the thickness of the original)

Then the paper is cut through the middle vertically and unfolded.

Into how many pieces is the original piece of paper cut?

16 3 8 2 12 4 6 5

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3 solutions

Marta Reece
Mar 26, 2018

Since the cut is vertical, folding top half down does nothing. The only fold that matters is left to right. The cut then separates the two ends, now both on the right, from the middle, now left, leaving three pieces.

B D
Sep 13, 2018

Do the steps with a square piece of paper.

Geoff Pilling
Mar 26, 2018

The following parts of the square end up getting cut together:

1 2 2 1
1 2 2 1
1 2 2 1
1 2 2 1

Therefore, the square is cut into 3 \boxed3 pieces.

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