SOLUTION: find the other side lenght of the golden rectangle to the nearest tenth of an inch. the longer side is 10 in.

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Question 469428: find the other side lenght of the golden rectangle to the nearest tenth of an inch. the longer side is 10 in.
Answer by ccs2011(207) About Me  (Show Source):
You can put this solution on YOUR website!
golden rectangle has dimensions which ratio equals the golden ratio.
The golden ratio can be derived from the Fibonacci sequence:
1,2,3,5,8,13,21...
As the numbers increase, then the fraction of A_n/A_n-1 approaches the golden ratio
A fairly good estimate would be 21/13
21%2F13+=+1.615
So for this rectangle:
10%2Fx+=+1.615
Multiply by x
10+=+1.615x
Divide by 1.615
6.19+=+x
Therefore length of side is 6.2 in.