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OpenStudy (igreen):
What's your question?
OpenStudy (anonymous):
Just a second, I had to attach a file
OpenStudy (anonymous):
OpenStudy (igreen):
Set up a proportion.
\(\sf \dfrac{54}{729} = \dfrac{18}{x}\)
Cross multiply.
54 * x = ?
729 * 18 = ?
OpenStudy (igreen):
54 is the side length of the bigger triangle, and 729 is the area of the bigger triangle.
18 is the side length of the smaller triangle, and 'x' represents the area of the smaller triangle.
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OpenStudy (anonymous):
729 * 18 = 13122.... And then 54 * x is what I still need to find.
OpenStudy (anonymous):
?
OpenStudy (igreen):
54 * x is the same as 54x
OpenStudy (igreen):
So we have:
\(\sf 13122 = 54x\)
Divide 54 to both sides.
OpenStudy (acxbox22):
but that isnt an answer choice @iGreen
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OpenStudy (anonymous):
Yeah..
OpenStudy (igreen):
Oh, hold on.
OpenStudy (anonymous):
I only have
10.5cm²
31.5 cm²
67 cm²
81 cm²
OpenStudy (acxbox22):
okay so first we need to find the similarity ratio between the sides
OpenStudy (acxbox22):
so 18/54 = ??
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OpenStudy (anonymous):
18 to 54 = 1 : 3
OpenStudy (acxbox22):
yes so now we convert dimensions since we are going from side length to area which are two different dimensions
so we square (1/3)