Solve for X in Trapezoid: Perimeter = 32.5 with Expressions x+2, 3x+1.5

To solve this problem, we'll follow these steps:

• Step 1: Set up the equation using the given lengths and the perimeter formula.
• Step 2: Simplify and solve the equation for $x$.

Step 1: The equation for the perimeter using the side lengths is:

$x + 2 + x + x - 1 + 3x + 1.5 = 32.5$

Combine like terms:

$6x + 2.5 = 32.5$

Step 2: Solve for $x$ by isolating it:

Subtract 2.5 from both sides: $6x = 30$

Divide by 6:

$x = 5$

Therefore, the solution to the problem is $x = 5$.