SOLUTION: The ancient Greeks thought that the most pleasing shape for a rectangle was one for which has the ratio of the length to the width was approximately 8 to 5, the golden ratio. If t

Question 192009This question is from textbook Elementary and intermediate algebra
: The ancient Greeks thought that the most pleasing shape for a rectangle was one for which has the ratio of the length to the width was approximately 8 to 5, the golden ratio. If the length of a rectangular painting is 2 ft longer than its width, then for what dimensions would the length and width have the golden ratio?
This question is from textbook Elementary and intermediate algebra

Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

Golden Ratio:

And the painting, , Length is 2 ft longer than Width.
Substitute this "L" to our Golden Ratio:

Cross multiply,

----->
}Width

So,
} Length

Let us check on our Golden Ratio:

Reduce left term by dividing both num.&den. by "2":

Thank you,
Jojo

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