question

xxbabezxx233

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Joined
Feb 10, 2006
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29
If an 8 inch wide rectangle is to approach the golden ratio what should the length be?
a.10
b.13
c.12
d.5

When i get the golden ratio from fibonnaci sequence I didnt get any of these mc answers so I know i am doing something wrong.
fibonacci starts like this
1+1+2+3+5+8+13 ETC

does anyone know what it would be thank you
 
Isn't the golden ratio in the fibannaci rule with
1+1+2+3+5+8 etc...if not can you let me know what it is so I can try and figure out the problem
 
The golden ratio is

[1 + sqrt(5)] / 2

or about 1.618.....

Dividing two consecutive terms of the Fib. series, approaches this value. For example, take the terms 8 and 5:

8/5 = 1.6

which is "close" to 1.618......

The ratio of the length of your rectangle to the width is supposed to be this ratio. Can you take it from here?

Steve
 
In order for the ratio to be the golden ratio, the length has to be 1.618 times longer than the width. Since the width is 8, the length has to be 1.618 * 8, which is close to 13.

Steve
 
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