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The Golden Ratio. The ancient Greeks thought that the most pleasing shape for a rectangle was one for which the ratio of the length to the width was 8 to 5, the golden ratio. If the length of a rectangular painting is 2 ft longer than the width, then for what dimensions would the length and width have the golden ratio?
Let x= width, and x+2 the length

See Attached for equation

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This shows how to work with the golden ratio in a geometry problem.

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