Which statement provides the correct explanation of the “golden rule”?

If this is mathematics, perhaps you meant the golden ratio:

a/b=b/(a+b) cross multiplying:

a^2+ab=b^2

b^2-ab-a^2=0

b=(a±√(a^2+4a^2))/2

b=(a±a√5)/2

b=a(1±√5)/2

If we let a=1 and b>a then:

b=(1+√5)/2

b≈1.618

That is the golden ratio.

check...

1/1.618=1.618/(1+1.618)

1/1.618=1.618/2.618

.618=.618

step-by-step explanation:

12 minutes