Question: A random point splits the interval [0,2] in two parts. Those two parts make up a rectagle. Calculate the probability of that rectangle having an area less than 0.5.

So, this is as far as I've gotten; I've set 
$X := length of one side$.

Then $Y := length of other side$. Both of the variables are uniformally distributed but Y is dependent on X. But if I set $Y = (2-X)$, then I only have to figure out the probability of $P(XY<0.5) = P(X(2-X)<0.5)$.

Here is where I can't go any further. Any ideas?