SOLUTION: Throughout history, rectangles whose length is 1.62 times the width called golden rectangles have been pleasing to the eye. An Artist wants a piece of canvas in the shape of a gol

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Question 343351: Throughout history, rectangles whose length is 1.62 times the width called golden rectangles have been pleasing to the eye. An Artist wants a piece of canvas in the shape of a golden rectangle with a perimeter of 9 feet. Find the length and the width.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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length is 1.62 times the width called golden rectangles have been pleasing to the eye.
An Artist wants a piece of canvas in the shape of a golden rectangle with a perimeter of 9 feet.
Find the length and the width.
:
Perimeter equation
2L + 2W = 9
simplify, divide by 2
L + W = 4.5
:
Given that:
L = 1.62W
therefore
1.62W + W = 4.5
2.62W = 4.5
W = 4.5%2F2.62
W = 1.72 ft
then
1.62(1.72) = 2.78 ft is the length
:
:
Check these dimensions by finding the perimeter
2(2.78) + 2(1.72) =
5.56 + 3.44 = 9; confirms our solution: L = 2.78, W = 1.72