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