Question

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

Answer 1

We know
`(8)/(w) = (1+\sqrt5)/(2)\text{ so:}\\w=16(1)/(1+\sqrt5)=4.9`

The correct answer is B.

Answer 2

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