SOLUTION: If the Golden Ratio is 1.618 and you have a piece of cardboard that is 7/8 feet wide. How long should you cut so it follows the golden ratio? 7/8= .875 and the Golden ratio= 1.6

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: If the Golden Ratio is 1.618 and you have a piece of cardboard that is 7/8 feet wide. How long should you cut so it follows the golden ratio? 7/8= .875 and the Golden ratio= 1.6      Log On


   

Question 454827: If the Golden Ratio is 1.618 and you have a piece of cardboard that is 7/8 feet wide. How long should you cut so it follows the golden ratio?
7/8= .875 and the Golden ratio= 1.618.
I need help setting up the problem correctly, as well as how to solve, please I have tried everything I can think of.
Found 2 solutions by rfer, Gogonati:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
1/0.875=1.618/x
x=0.875*1.618
x=1.41575

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
The Golden ratio is the ratio length/width of a rectangular, in our case:
L%2FW=1.618. Let's = X the length of the cardboard, since the width of the
cardboard is W=0.875, we write:1.618=X%2F0.875=>X=1.618%2A0.875
X=1.416 ft.
Answer:The length of the cardboard is 1.416 ft.