SOLUTION: A rectangular piece of paper is folded six times in succession.The final folded piece of paper has area 20 in^2.Find the area of unfolded piece of paper .please explain.

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Question 674517: A rectangular piece of paper is folded six times in succession.The final folded piece of paper has area 20 in^2.Find the area of unfolded piece of paper .please explain.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Each time the paper is folded, the
area that you see is 1/2 of what it was
So, the area you end up with is
+a+=+A%2A%281%2F2%29%5E6+
where +A+ is the area you started with
and +a+ is the final area
given: +a+=+20+ in2
+20+=+A%2A%28+1%2F128+%29+
+A+=+2560+ in2