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?

Question

Chasity Marquez

Mathematics

3 August, 16:36

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?

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Answers (1)

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Ming · Answer 1

55 inches

Step-by-step 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