You're very excited because you just purchased a triangular piece of property. You want to buy some fence that will fully protect your property. A vendor is selling three pieces of fence. The first piece is feet long, the second is feet long, and the last piece is feet long. He claims that this is perfect for your use, as it is impossible to cut, split, or bend the fence pieces. He says he will sell the three pieces to you at a rate of per foot. How much do you pay for this vendors fence?