SOLUTION: 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 l

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Question 304715: 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 rectangular painting is 2 ft. longer than its width, then for what dimensions would the length and width have the golden ratio?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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 rectangular painting is 2 ft. longer than its width,
then for what dimensions would the length and width have the golden ratio?
:
let x = the width
then
(x+2) = the length
:
%28x%2B2%29%2Fx = 8%2F5
cross multiply
8x = 5(x+2)
8x = 5x + 10
8x - 5x = 10
3x = 10
x = 10%2F3
x = 31%2F3 ft is the width, then 51%2F3 ft is the length, the golden ratio