1. The problem asks to find the perimeter $P$ of a trapezoid in terms of $x$. 2. The trapezoid has four sides: the vertical side $3x$, the top side $2 + x$, the bottom side $2 + 5x$, and the right vertical side which is not labeled but since the trapezoid has a right angle on the left side, the right vertical side is also $3x$ (parallel and equal to the left vertical side). 3. The perimeter $P$ is the sum of all four sides: $$P = (2 + x) + 3x + (2 + 5x) + 3x$$ 4. Combine like terms: $$P = 2 + x + 3x + 2 + 5x + 3x = (2 + 2) + (x + 3x + 5x + 3x) = 4 + 12x$$ 5. Therefore, the perimeter in terms of $x$ is: $$\boxed{P = 4 + 12x}$$