Question

Another painting has length : width ratio approximately equal to the golden ratio (1 + sqrt 5) : 2. Find the length of the painting if the width is 34 inches?​

Answer 1

55 inches

Explanation:

Let L be the length of the painting. From the ratios,

1 + √5 : 2 = L : 34

(1 + √5)/2 = L/34

L = 34 × (1 + √5)/2

= 34 × (1 + 2.236)/2

= 17 × (3.236)

= 55.012

≈ 55 inches