Is it possible to create a trapezoid that satisfies the conditions but has a different area

Step-by-step explanation:

Yes, no, maybe. It depends on how rigid you are. The formula is

Area = (b2 + b1) * h/2

You could interchange b1 and b2, but that would not alter the area. If you interchanged the value for the height and either b1 or b2 then the area would be quite different.

It all depends on what you are allowed to do.