Question

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 G'A'? Type the numeric answer only in the box below.

Answer 1

GA + AM + ME + EG = 177 (given)
length of other 3 sides are given, so you can find GA from here..
Now, since both are similar,
we have
EM/E'M' = GA/G'A'
you should be able to find G'A' from here easily..

Answer 2

I CANT

Answer 3

really? whats your progress so far ?

Answer 4

idk thats why i need help

Answer 5

12 inch answer

Answer 6

First, similar means you can make a ratio between the two figure's sides:
E′M′EM=G′A′GA

you know EM= 35 and E'M'= 14 so we can use those numbers to get
1435=G′A′GA

Now if we know GA, we could solve for G'A' (multiply both sides by GA)

To find GA, we use perimeter of the adult pinball machine is 177
That means the sum of the sides= 177
GA+56+56+35= 177
So we can find GA and use it in the ratio to find G'A'

Answer 7

thank you

Answer 8

welcome