Question 185382: please help me solve this problem please thank you
The ancient Greeks though that the most pleasing shape for a rectangle was one for which the ratio of length to width was 8 to 5, the golden ratio. If the length of a rectangular painting is 2 ft longer than its width, then for what dimensions would the length and width have the golden ratio?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The ancient Greeks though that the most pleasing shape for a rectangle was one for which the ratio of length to width was 8 to 5, the golden ratio. If the length of a rectangular painting is 2 ft longer than its width, then for what dimensions would the length and width have the golden ratio?
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length/width = 8/5
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(x+2)/x = 8/5
5(x+2) = 8x
8x-5x = 10
3x = 10
x = 3 1/3 ft (width)
x+2 = 5 1/3 ft (length)
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Cheers,
Stan H.
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