Question 78204
An artist wants her painting to be in the shape of a golden rectangle. If the length of the painting is 36 inches, then what should be the width?
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If a rectangle has length a and width b and the larger demention is "a",
the golden ratio is (a+b)/a =a/b
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Then larger/smaller = (1+sqrt5)2 = 1.6180339887...
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Your problem:
If 36 is the larger dimension for the picture you get:
36/smaller = 1.6180.../1
smaller = 36/1.6180=22.249...
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If 36 is the smaller dimension for the picture you get:
larger/36 = 1.6180
larger = 1.6180,,,*36 = 58.24922....
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Cheers,
Stan H.