I couldn't post it (or anything) after I registered as I was using mobile broadband and so my IP range was blacklisted.
The answer at the end is A = 13/3 * x^2 (I did this in rough then wrote up that "clean" version)
I'll dig up my old workings and explain if need-be.
Naturally I hope I didn't make a mistake

(A long-time follower of osdev stuff
