SOLUTION: A golden rectangle is a rectangle whose length is approximately 1.6 times its width. The early Greeks thought that a rectangle with these dimensions was the most pleasing to th

Question 1109296:
A golden rectangle is a rectangle whose length is approximately 1.6 times its width. The early Greeks thought that a rectangle with these dimensions was the most pleasing to the eye and examples of the golden rectangle are found in many early works of art. For example, the Parthenon in Athens contains many examples of golden rectangles. Mike Hallahan would like to plant a rectangular garden in the shape of a golden rectangle. If he has 234234 feet of fencing available, find the dimensions of the garden.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A golden rectangle is a rectangle whose length is approximately 1.6 times its width.
Mike Hallahan would like to plant a rectangular garden in the shape of a golden rectangle.
If he has "234"* feet of fencing is available, find the dimensions of the garden. *Makes more sense.
:
let w = the width of the garden
then
1.6w = the length
:
2(1.6w) + 2w = 234
3.2w + 2w = 234
5.2w = 234
w = 234/5.2
w = 45 ft is the width
and
1.6(45) = 72 ft is the length
:
:
Check
2(72) + 2(45) =
144 + 90 = 234
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