Final answer:
The perimeter of the triangle in terms of x is 7x + 11, which means none of the given choices are correct. The given options are a mistake, as they do not accurately represent the calculated perimeter based on the provided information.
Step-by-step explanation:
The question asks for the perimeter of a triangle in terms of the variable x. According to the problem, the second side is 8 more than three times the first side. So, it can be represented as 3x + 8. The third side is 5 less than the second side, which translates to (3x + 8) - 5 or 3x + 3. Therefore, the perimeter, which is the sum of all sides, would be x (first side) + (3x + 8) (second side) + (3x + 3) (third side). When we add these together, we get the perimeter P = x + 3x + 8 + 3x + 3, which simplifies to P = 7x + 11. Hence, none of the given options (A, B, C, D) are correct.