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Mathematics 15 Online
OpenStudy (anonymous):

What is the ratio of these two pentagons?

OpenStudy (anonymous):

OpenStudy (anonymous):

@KendrickLamar2014 Help me?

OpenStudy (anonymous):

i got 12/28 but im not sure

OpenStudy (anonymous):

@Ilovecake @forzamilan

OpenStudy (anonymous):

@Secret-Ninja

OpenStudy (anonymous):

@tester97

OpenStudy (anonymous):

didnt i answer dis?

OpenStudy (anonymous):

im not sure, i dont think i've seen it if you did

OpenStudy (anonymous):

oh wait i didnt post it...:o

OpenStudy (anonymous):

Thats okay, What did you say it was?

OpenStudy (anonymous):

There are a few different formulas for finding the area of a pentagon. The one I recommend for this problem is A=(sqrt(5(5+2*sqrt(5)))*a^2)/4 This is a big formula, but you could use it to find the areas. However, in this case we only want the ratio of the areas. That means that we will set up a fraction, plugging 12 into that equation for the numerator, and 28 into the bottom for the demoninator. The nice thing about doing it as a fraction means that all the constants will cancel out. that will leave just 12^2/28^2 as our ration. Simplifying this gives us: 12^2/28^2 = (12/28)^2 = (3/7)^2 = 9/49 Which is answer D of your choices.

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