5. the golden ratio,, which satisfies the following: x+y I y a) Transform the following square into a golden rectangle using the method outlined in class. Label the length and width of the rectangle, and show that it is “golden”. | 4 4 Page 2 of 3 b) Consider the pentagram below. The pentagram is drawn by extending the sides of a regular pentagon until they intersect. C b a Note that, c/d (the golden ratio). Does the ratio b/c also equal o? You must show your work

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.1: Area And Initial Postulates
Problem 3E: Consider the information in Exercise 2, but suppose you know that the area of the region defined by...
Question
5.
the golden ratio,, which satisfies the following:
x+y
I
y
a) Transform the following square into a golden rectangle using the method outlined in class. Label the
length and width of the rectangle, and show that it is “golden”. |
4
4
Page 2 of 3
Transcribed Image Text:5. the golden ratio,, which satisfies the following: x+y I y a) Transform the following square into a golden rectangle using the method outlined in class. Label the length and width of the rectangle, and show that it is “golden”. | 4 4 Page 2 of 3
b) Consider the pentagram below. The pentagram is drawn by extending the sides of a regular pentagon
until they intersect.
C
b
a
Note that, c/d (the golden ratio). Does the ratio b/c also equal o? You must show your work
Transcribed Image Text:b) Consider the pentagram below. The pentagram is drawn by extending the sides of a regular pentagon until they intersect. C b a Note that, c/d (the golden ratio). Does the ratio b/c also equal o? You must show your work
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