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3 years ago

Determine the unknown side length of the golden rectangle with the given side length. s = ____ l = 9 a. 5.56 c. 4.94 b. 4.85

1 answer:

kramer3 years ago

8 0

Answer: option a. 5.46

Explanation:

The side lengths of the golden rectangle are in the proportion:

          1
--------------------
golden number

The golden numbrer is:

1 + √5
-----------
     2

So, the ratio is:

       1
--------------
   1 + √5
   ---------
       2

And, using the properties of the division of fractions, that is equivalent to:

      2
-------------
1 + √5

So, since you have thhe given side = 9, you can set the proportion, to find the unknown lenght, s:

    2               s
--------- =   ---------
1 + √5          9

And you can solve for s:

s = 9 * 2 / (1 + √5) ≈ 18 / (1 + 2.236) = 18 / (3.236) ≈ 5.56.

Which is the option a. 5.56

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------------------------------------

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------------------------------------

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A similar problem is given at brainly.com/question/21447009

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