Jeremy is building a large deck for a community center the deck is shaped as a rectangle the width of the deck is 29 feet the perimeter of the deck is to be at least 134 feet write an inequality that represents all possible values of the deck find all possible values for the length of the deck

The length of the deck ≥ 38.

The width is 29 feet, so double that (58) and you get two of the sides. subtract that from the perimeter you are looking for (134 - 58) and now you have what the remaining two sides must equal (76) divide that by two to get one side, which is also the length (38). The perimeter must be at least 134, but can be more, so the length has to be greater than or equal to 38. 

No a triangle cannot be formed because when you add the two smallest number together (which would be 11) the have to be bigger than the number it is "against" ( which would be 12)