Atoy 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?

This is not as hard as it seems. All shapes will follow ratios when they undergo a change in overall size. The first part is finding the size of line G-A.  Since we know perimiter, we can simply subtract the other sides from the total permitier. This gives us that GA is 30. Since the ratio of = , we can simply do 14/35 = x/30. Sp x = 30*14/35 =12