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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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how did you get 35cm^2 or was that given to you?
It was given, yes.
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.

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Other answers:

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.
|dw:1359360295510:dw| @SFAdrienne
One second, I'll try to solve.
x = 2240. ?
yes. 2240 square cm. for the area of the larger octagon.
Great. Thanks. :)
Glad to help.

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