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SFAdrienne Group Title

The area of a regular octagon is 35cm^2. What is the area of a regular octagon with sides eight times as long?

  • one year ago
  • one year ago

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  1. RyanL. Group Title
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    how did you get 35cm^2 or was that given to you?

    • one year ago
  2. SFAdrienne Group Title
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    It was given, yes.

    • one year ago
  3. Directrix Group Title
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    These two regular octagons are similar. So, the theorem we used on the previous problem holds here. The square of the scale factor of two similar polygons is equal to the ratio of their areas.

    • one year ago
  4. Directrix Group Title
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    In words, the proportion is: the square of (one is to eight) = 35 to x where x is the area of the octagon that has sides of length 8 times the sides of the smaller octagon.

    • one year ago
  5. Directrix Group Title
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    |dw:1359360295510:dw| @SFAdrienne

    • one year ago
  6. SFAdrienne Group Title
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    One second, I'll try to solve.

    • one year ago
  7. SFAdrienne Group Title
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    x = 2240. ?

    • one year ago
  8. Directrix Group Title
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    yes. 2240 square cm. for the area of the larger octagon.

    • one year ago
  9. SFAdrienne Group Title
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    Great. Thanks. :)

    • one year ago
  10. Directrix Group Title
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    Glad to help.

    • one year ago
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