A golden rectangle has sides of length 1 and x. When a square with side length 1 is removed from the golden rectangle, the remaining rectangle has the same proportions as the original. Solve for x.

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26-04-2015
Mathematics

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A golden rectangle has sides of length 1 and x. When a square with side length 1 is removed from the golden rectangle, the remaining rectangle has the same proportions as the original. Solve for x.

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SecretIndexidn SecretIndexidn · Answer 1 · 2015-04-26T21:58:18-04:00

SecretIndexidn SecretIndexidn

26-04-2015

The original dimensions are is 1 by x
When you take away a square with side length 1, the new dimensions are 0 by x-1.
The only case where 1 by x and 0 by x-1 are proportional are when x=1, since 1 by 1 is proportionate to 0 by 0

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