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
Algebra.Com
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
RELATED QUESTIONS
The Golden Ratio. The ancient Greeks thought that the most pleasing shape for a... (answered by edjones)
Please help.
The golden ratio. The ancient Greeks thought that the most pleasing shape... (answered by checkley75)
The golden ratio. The ancient Greeks thought that the
most pleasing shape for a... (answered by algebrapro18)
The golden ratio. The ancient Greeks thought that the most pleasing shape for a... (answered by ankor@dixie-net.com)
The golden ratio. The ancient Greeks thought that the
most pleasing shape for a... (answered by Theo)
The Golden Ratio: The ancient Greeks thought that the most pleasing shape for a rectangle (answered by Nate)
(48) The golden ratio. The ancient Greeks thought that the most pleasing shape for a... (answered by aaaaaaaa)
The ancient Greeks thought that the most pleasing shape for a rectangle was one for which (answered by solver91311)
The ancient Greeks thought that the most pleasing shape for a rectangle was one for which (answered by stanbon)