# Math

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If theres a golden rectangle, with one dimension shown as being 100, then what is the length of the unknown side? How do you do this please?

• Math -

the golden ratio is (1+√5) : 2

so if 100 is the width, let the length be x

x/100 = (1+√5)/2
2x = 100 + 100√5
x = 50 + 50√5 or appr. 161.80

(The golden ratio is 1.618034 appr.
notice that our answer is 100 times that value)

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