SOLUTION: You fold a large piece of paper in half four times, then unfold it. If you cut along the fold lines, how many identical rectangles will you make? a 4 b 8 c 16 d 32

Question 350680: You fold a large piece of paper in half four times, then unfold it. If you cut along the fold lines, how many identical rectangles will you make?
a 4 b 8 c 16 d 32
Answer by jjordan95(63) (Show Source): You can put this solution on YOUR website!
Lets find out.
Start with a piece of paper. When you fold this paper in half once, you will now have 2 identical rectangles. A second time will give you 4, a third 8, and a fourth time will give you 16.
The algebraic equation to determine this is:

Where y is the number of identical rectangles and n is the number of times the paper has been folded in half.
Plugging in the numbers from your equation yields these results:

Likewise, if you folded the paper in thirds, the equation would be:

Where y is the number of identical rectangles and n is the number of times the paper has been folded in thirds.
The number of folds you create in the paper for each iteration is the base (2 in or 3 in .)
Hope this helps.
Justin
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