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ErinWeeks

  • 3 years ago

The area of a regular octagon is 35 cm2. What is the area of a regular octagon with sides five times as long? A. 625 cm2 B. 875 cm2 C. 175 cm2 D. 245 cm2

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  1. Hero
    • 3 years ago
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    Do you have the formulas for Area of a Polygon already?

  2. ErinWeeks
    • 3 years ago
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    no i dont ! could you tell me the area

  3. Hero
    • 3 years ago
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    \[A = \frac{Pa}{2}\]

  4. ErinWeeks
    • 3 years ago
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    what is PA? what would i put there?

  5. mathmate
    • 3 years ago
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    Hint: Area of similar polygons are proportional to the square of the linear dimensions (such as a side). A polygon with a side 5 times as long has an area of 5^2=25 times the smaller polygon.

  6. Hero
    • 3 years ago
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    ^What he said

  7. ErinWeeks
    • 3 years ago
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    so it would be B , 875 ?

  8. mathmate
    • 3 years ago
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    Sounds good to me. :)

  9. Hero
    • 3 years ago
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    I was just about to show her the long hard way of doing it.

  10. Hero
    • 3 years ago
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    Nice intercept @mathmate

  11. ErinWeeks
    • 3 years ago
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    thank you both !!

  12. mathmate
    • 3 years ago
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    Sorry @Hero for butting in. I think the question was on the proportionality of figures.

  13. mathmate
    • 3 years ago
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    yw! :)

  14. Hero
    • 3 years ago
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    It was on Area of a Regular Polygon as well

  15. mathmate
    • 3 years ago
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    It would definitely been beneficial to learn how to calculate the apothem and the length of the side given the area and number of sides. It would be a little long though.

  16. Hero
    • 3 years ago
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    Yes, I know. I just said that it was the long way. Good job on saving time.

  17. mathmate
    • 3 years ago
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    Sorry pal for this time. Hope that won't happen again! :)

  18. Hero
    • 3 years ago
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    Okay bro

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