beanrachel34orhnt8 beanrachel34orhnt8
  • 12-01-2018
  • Mathematics
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Determine the indicated side length of the golden rectangle. Round your answer to the nearest hundredth. a. 4.85 c. 5.26 b. 4.94 d. 3.09

Determine the indicated side length of the golden rectangle Round your answer to the nearest hundredth a 485 c 526 b 494 d 309 class=

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LearnGrow
LearnGrow LearnGrow
  • 12-01-2018
A golden rectangle is a rectangle whose side lengths are in the golden ratio, , which is (the Greek letter phi), where is approximately 1.618.
(a+b)/a=a/b
in our case, a=8
8+b/8=8/b
8b+b^2=64
b^2+8b-64=0
 b = 4 + √ -48 

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obenam obenam
  • 12-01-2018
We know [tex] \frac{8}{w} = \frac{1+\sqrt5}{2}\text{ so:}\\w=16\frac{1}{1+\sqrt5}=4.9[/tex]

The correct answer is B.
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