<PRE><B>Question 208674</B>
Well the rectangular as width w and length w+2.  So now we set up a porportion to compare the two ratios and then solve for the width and then we can plug back in and find the length.

so our porportion will be

{{{(length-of-rectangle)/(width-of-rectangle) = (length-for-golden-ratio)/(width-for-golden-ratio)}}}

Now plugging in our expressions we get

{{{(w+2)/(w) = (8)/(5)}}}

Now we cross multiply and then solve the resulting equation:

5(w+2) = 8w
5w+10 = 8w
10 = 3w
10/3 feet = w or w = 3.33333333333333333333333 feet

So now we find our length which we know is 2 feet + the width.  so l = 10/3 + 2 = 16/3 or 5.333333333333333


 
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