anonymous
  • 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.
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
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anonymous
  • anonymous
find GA using the given perimeter find the scale factor (they're similar polygons)
anonymous
  • 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
  • anonymous
Is the scale factor 2.5?
anonymous
  • 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
  • anonymous
so line G'A' would be 12 inches?
anonymous
  • anonymous
yeah
anonymous
  • anonymous
ok thank you so much :)
anonymous
  • anonymous
any time :D

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