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Question 167506: 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 approximately 8 to 5, the golden ratio. If the length of a painting is 2ft. longer than its width, then for what dimensions would the length and width have the golden ratio? I am not real good with word problems, please help.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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 approximately 8 to 5, the golden ratio. If the length of a painting is 2ft. longer than its width, then for what dimensions would the length and width have the golden ratio?
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Let the width be "x" ft.
Length is "x+2" ft.
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EQUATION:
(x+2)/x = 8/5
5x+10 = 8x
3x = 10
x = (10/3) ft (this is the width)
x+2 = (16/3) ft ( this is the length)
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Cheers,
Stan H.
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