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
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Question 1109297:
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 234 feet of fencing available, find the dimensions of the garden.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
let w be the width of the rectangle, then 1.6w is the length
:
2w + 2(1.6w) = 234
:
2w + 3.2w = 234
:
5.2w = 234
:
width = 45 feet
length = 45 * 1.6 = 72 feet
:
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