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A golden rectangle is a rectangle whose side lengths are in the golden ratio, , which is (the Greek letter phi), where is approximately 1.618.
(a+b)/a=a/b
in our case, a=8
8+b/8=8/b
8b+b^2=64
b^2+8b-64=0
 b = 4 + √ -48 
We know [tex] \frac{8}{w} = \frac{1+\sqrt5}{2}\text{ so:}\\w=16\frac{1}{1+\sqrt5}=4.9[/tex]

The correct answer is B.