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Mathematics 17 Online
OpenStudy (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

hero (hero):

Do you have the formulas for Area of a Polygon already?

OpenStudy (erinweeks):

no i dont ! could you tell me the area

hero (hero):

\[A = \frac{Pa}{2}\]

OpenStudy (erinweeks):

what is PA? what would i put there?

OpenStudy (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

OpenStudy (erinweeks):

so it would be B , 875 ?

OpenStudy (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

OpenStudy (erinweeks):

thank you both !!

OpenStudy (mathmate):

Sorry @Hero for butting in. I think the question was on the proportionality of figures.

OpenStudy (mathmate):

yw! :)

hero (hero):

It was on Area of a Regular Polygon as well

OpenStudy (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.

OpenStudy (mathmate):

Sorry pal for this time. Hope that won't happen again! :)

hero (hero):

Okay bro

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