Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

SFAdrienne

  • 3 years ago

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

  • This Question is Closed
  1. RyanL.
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how did you get 35cm^2 or was that given to you?

  2. SFAdrienne
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    It was given, yes.

  3. Directrix
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    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.

  4. Directrix
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    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.

  5. Directrix
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1359360295510:dw| @SFAdrienne

  6. SFAdrienne
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    One second, I'll try to solve.

  7. SFAdrienne
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x = 2240. ?

  8. Directrix
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yes. 2240 square cm. for the area of the larger octagon.

  9. SFAdrienne
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Great. Thanks. :)

  10. Directrix
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Glad to help.

  11. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy