Please help I really need an answer fast!!! 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. Adult pinball machine GAME with base ME measuring 35 inches and sides measuring 56 inches. Child pinball machine G prime A prime M prime E prime with base M prime E prime measuring 14 inchesIf the perimeter of the adult pinball machine is 167 inches, what is the length, in inches of Segment line G prime A prime? Type the numeric answer only in the box below.

The answer is 8. 

first of all you need to find the missing length on the adult version. 
so the work would be:
-add up all the known sides of adult so
(56+56+35)=147

-then take the total perimeter and subtract so
 167-147=20

-then you need to compare the two known sides of both the adult and kids version. so that would be the bottom line EM.
They are 35 and 14 so divide
35/14=2.5

Now you know the dilation so you can figure out the missing side GA on the childs by taking the missing side from the adult dividing by the dilation 2.5 to get the answer so
20/2.5= 8 

the answer is 8. 

I got this correct on the quiz.