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14 March, 18:30

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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  1. 14 March, 20:13
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    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
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