Final answer:
The perimeter of the trapezoid, expressed as a binomial in terms of x, is 14x - 9.
Step-by-step explanation:
The lengths of the trapezoid can be represented as 2x + 3, 4x - 5, 3x + 2, and 5x - 9. To find the perimeter of the trapezoid, we need to add up all the lengths.
Perimeter = (2x + 3) + (4x - 5) + (3x + 2) + (5x - 9)
Simplifying the expression, the perimeter of the trapezoid is: 14x - 9.