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29 July, 10:07

Two corresponding side of similar pentagons are 12 cm and 28 cm.

what is the ratio of the areas of the pentagons?

A. 12/28

B. 27/343

C. 9/49

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Answers (1)
  1. 29 July, 12:13
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    The ratio of the areas of the polygon will be evaluated as follows:

    area scale factor = (linear scale factor) ²

    linear scale factor = (length of pentagon A) / (length of polygon B) = 12/28=3/7

    thus:

    area ratio = (3/7) ²=9/49

    Answer: C. 9/49
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