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22 March, 09:13

A shell fits into a golden rectangle with a length of 8 in. What is the shell's width? write your answer is simplified radical form and rounded to the nearest tenth of an inch.

Select one:

a. About 4.9 inches

b. About 4.1 inches

c. About 5.3 inches

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Answers (1)
  1. 22 March, 10:29
    0
    For this case we have the following relationship:

    l / w = (1 + root (5)) / 2

    Where,

    l: length of the rectangle

    w: width of the rectangle

    Clearing the width we have:

    w = (2 / (1 + root (5))) * (l)

    Substituting values:

    w = (2 / (1 + root (5))) * (8)

    Rewriting:

    w = 4.94427191 inches

    Rounding off we have:

    w = 4.9 inches

    Answer:

    the shell's width is:

    w = 4.9 inches

    a. About 4.9 inches
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