ErinWeeks
  • ErinWeeks
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
Mathematics
chestercat
  • chestercat
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Hero
  • Hero
Do you have the formulas for Area of a Polygon already?
ErinWeeks
  • ErinWeeks
no i dont ! could you tell me the area
Hero
  • Hero
\[A = \frac{Pa}{2}\]

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ErinWeeks
  • ErinWeeks
what is PA? what would i put there?
mathmate
  • mathmate
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.
Hero
  • Hero
^What he said
ErinWeeks
  • ErinWeeks
so it would be B , 875 ?
mathmate
  • mathmate
Sounds good to me. :)
Hero
  • Hero
I was just about to show her the long hard way of doing it.
Hero
  • Hero
Nice intercept @mathmate
ErinWeeks
  • ErinWeeks
thank you both !!
mathmate
  • mathmate
Sorry @Hero for butting in. I think the question was on the proportionality of figures.
mathmate
  • mathmate
yw! :)
Hero
  • Hero
It was on Area of a Regular Polygon as well
mathmate
  • mathmate
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.
Hero
  • Hero
Yes, I know. I just said that it was the long way. Good job on saving time.
mathmate
  • mathmate
Sorry pal for this time. Hope that won't happen again! :)
Hero
  • Hero
Okay bro

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