# SOLUTION: The Ancient Greeks thought that the most pleasing shape for a rectangle was one for which the ratio of the length to the width was 8 to 5, the golden ratio. If the length of a rect

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 Algebra: Proportions Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Proportions Question 134033: The Ancient Greeks thought that the most pleasing shape for a rectangle was one for which the ratio of the length to the width was 8 to 5, the golden ratio. If the length of a rectangle painting is 2 feet longer than its width, then for what dimensions would the length and width have the golden ratio?Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!8/5=(X+2)/X CROSS MULTIPLY 8X=5(X+2) 8X=5X+10 8X-5X=10 3X=10 X=10/3 ANSWER FOR THE WIDTH. 10/3+2=(10+6)/3=16/3 FOR THE LENGTH PROOF 8/5=(16/3)*(3/10) HERE WE INVERT THE DENOMINATOR (10/3) & MULTIPLY. 8/5=16/10 8/5=8/5