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- anonymous

Please help me solve :)
A toy company manufactures arcade games. They are marketing a new pinball machine to children. It is similar in size to the adult version of the same game. Both the adult and child models are shown below:
If the perimeter of the adult pinball machine is 177 inches, what is the length, in inches of Segment line G prime A prime? Type the numeric answer only in the box below.

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- anonymous

- katieb

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- anonymous

find GA using the given perimeter
find the scale factor (they're similar polygons)

- anonymous

i got 30 for GA on the larger pinball machine but i don't know what to do from there

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- anonymous

Is the scale factor 2.5?

- anonymous

looks good.
30 is correct. next, we just set up a proportion.
\(\dfrac{GA}{G'A'}=\dfrac{EM}{E'M'}\\\dfrac{30}{x}=\dfrac{35}{14}\)
or you can just use the scale factor and so we know that 2.5*\((G'A)'\)=GA
so we can do \(2.5x=30\\x=\dfrac{30}{2.5}\)

- anonymous

so line G'A' would be 12 inches?

- anonymous

yeah

- anonymous

ok thank you so much :)

- anonymous

any time :D

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