Calculate Trapezoid Perimeter: Solving with 3X+1, 3X-1, 2X+3, and 2X

To solve this problem, we will calculate the perimeter of the trapezoid using the expressions given for each side:

• Top side length: $3X + 1$
• Bottom side length: $2X + 3$
• Right side length: $3X - 1$
• Left side length: $2X$

The formula to find the perimeter $P$ of a trapezoid is to sum the lengths of all four sides:

$P = (3X + 1) + (2X + 3) + (3X - 1) + (2X)$

First, we will combine like terms:

• Add up all the $X$ terms: $3X + 2X + 3X + 2X = 10X$
• Add up the constant terms: $1 + 3 - 1 + 0 = 3$

Therefore, the perimeter of the trapezoid is:

$P = 10X + 3$

The correct choice is the option containing the expression $10X + 3$.

Thus, the solution to the problem is $10X + 3$.