jmc

There are $61$ vertical columns with a length of $32$ toothpicks, and there are $33$ horizontal rows with a length of $60$ toothpicks. You can verify this by trying a smaller case, i.e. a $3\times 4$ grid of toothpicks, with $3\times 3$ and $2\times 4$. Thus, our answer is $61\cdot 32+33\cdot 60=\boxed{3932}$.