Question
A room is approximately shaped like a golden rectangle. Its length is 21 ft. What is the room's width? Write your answer in simplified radical form and rounded to the nearest tenth of a foot. Note that the ratio of the length to the width of a golden rectangle is left parenthesis 1 plus StartRoot 5 EndRoot right parenthesis : 2.
Answers
Reiny
21/w = (1 + √5)/2
(1 + √5)w = 42
w = 42/(1+√5) = appr 12.978.. = 13.0 rounded to the nearest tenth
notice that 21 is one of the Fibonacci numbers with 13 as the previous one.
(1 + √5)w = 42
w = 42/(1+√5) = appr 12.978.. = 13.0 rounded to the nearest tenth
notice that 21 is one of the Fibonacci numbers with 13 as the previous one.