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Sweet. It's easy to understand if you explain this way, thanks a lot!
If you try to solve that using the quadratic formula:
There are no real values of x to solve that square root so it would seem it is not possible.
To find the biggest area I'll make a graph first :
You can see from the graph ( at the end ) that the maximum is below 40, so that confirms the statement above.
Quadratics are symmetrical so the maximum will be at x = 6
Or use calculus to find the maximum.
So biggest area = 6(12-6) = 36