SOLUTION: Please help! 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 approximately 8 to 5, the golden

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Question 311546: Please help! 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 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?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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 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?
:
Here's one way
:
Let x = the multiplier
then
8x = the length
and
5x = the width
:
" length of a rectangular painting is 2 ft longer than its width,"
8x = 5x + 2
8x - 5x = 2
3x = 2
x = 2%2F3 is the multiplier
then
8*2%2F3 = 16%2F3 = 51%2F3 ft is the length
and
5*2%2F3 = 10%2F3 = 31%2F3 ft is the width
:
We can see there is a 2' difference