SOLUTION: A wood that is 120 inches in length is to be cut into two parts such that the ratio of the parts constitutes the Golden Ratio. What must be the lengths of the wood?

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Question 1163531: A wood that is 120 inches in length is to be cut into two parts such that the ratio of the
parts constitutes the Golden Ratio. What must be the lengths of the wood?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A wood that is 120 inches in length is to be cut into two parts such that the ratio of the parts constitutes the Golden Ratio.
What must be the lengths of the wood?
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Golden ratio; The ratio of the smaller to the larger is equal to the ratio of the larger to the whole.
G = %28sqrt%285%29-1%29%2F2 = .618....
a = the longer line
b = the shorter
a + b = 120
b + .618a
therefore
1.618a = 120
a = 120/1.618
a = 74.1656" the longer length
b = 120 - 74.1656
b = 45.8344" the shorter