57. A golden rectangle is a rectangle in which the ratio of its length to its width is equal to the ratio of the sum of its L W length and width to its length: ý = L+W that meet this condition are " (values of L and W said to be in the golden ratio). a. Suppose that a golden rectangle has a width of 1 unit. Solve the equation to find the exact value for the length. Then give a decimal approximation to 2 decimal places. b. To create a golden rectangle with a width of 9 ft, what should be the length? Round to 1 decimal place.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 34A
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57. A golden rectangle is a
rectangle in which the ratio of
its length to its width is equal
to the ratio of the sum of its
L
W
length and width to its length:
ý = L+W
that meet this condition are
" (values of L and W
said to be in the golden ratio).
a. Suppose that a golden rectangle has a width of 1 unit.
Solve the equation to find the exact value for the length.
Then give a decimal approximation to 2 decimal places.
b. To create a golden rectangle with a width of 9 ft, what
should be the length? Round to 1 decimal place.
Transcribed Image Text:57. A golden rectangle is a rectangle in which the ratio of its length to its width is equal to the ratio of the sum of its L W length and width to its length: ý = L+W that meet this condition are " (values of L and W said to be in the golden ratio). a. Suppose that a golden rectangle has a width of 1 unit. Solve the equation to find the exact value for the length. Then give a decimal approximation to 2 decimal places. b. To create a golden rectangle with a width of 9 ft, what should be the length? Round to 1 decimal place.
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