probability – Expected value of area of a triangle

Two (possibly equal) integers $x$ and $y$ are chosen such that $1 le x le 5$ and $1 le y le 5$. What is the expected value of the area of the triangle with vertices $(0, 0)$, $(x, 0)$, and $(0, y)$?

I ended up getting$${1over2}left({{1+5}over2}right)left({{1+5}over2}right)= {9over2}$$Is this correct?