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 2 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?
 2 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?

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RyanL.
 2 years ago
Best ResponseYou've already chosen the best response.0how did you get 35cm^2 or was that given to you?

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.2These 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.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.2In 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.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1359360295510:dw @SFAdrienne

SFAdrienne
 2 years ago
Best ResponseYou've already chosen the best response.0One second, I'll try to solve.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.2yes. 2240 square cm. for the area of the larger octagon.
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