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the golden ratio is ... (1 + β5) / 2 β 1.618
1.5 cm = w * 1.618
1.5 cm = w * 1.618
so divide 1.5 by that value
1.5 Γ· (1+β5)/2
= 1.5*2/(1+β5)
= 3/(1+β5) = appr .927
note 1.5/.927 = 1.6181..
and (1+β5)/2 = 1.6180339...
Given that the length of the golden rectangle is 1.5 cm, we can use this information to find the width w.
To find the width w using the golden ratio, we can set up the following equation:
w / 1.5 = 1.618 / 1
To solve for w, we cross-multiply and divide:
w = (1.5 * 1.618) / 1
Simplifying:
w = 2.427 cm
So, the width w of the fern with a length of its golden rectangle being 1.5 cm is approximately 2.427 cm.