I see I did take that in account in my solution. Thus I don't see the error you allege. Please elaborate on the error you claim.
What is the maximum number of areas created with L lines?
You are counting infinite regions which are not bounded:
http://mathforum.org/library/drmath/view/55008.htmlThose have no definable "area" as the question pertains. Thus I claim you are wrong and even the designers of the question are wrong if they expected your answer.
This isn't the first time I corrected the answer on an IQ test.

Edit: tromp has a high IQ. That is quite clear. And he is afaik more formally trained in math than I am. I am not going to claim I am smarter than him. IQ is overrated any way, as was explained upthread.