SUMPRODUCT after SPLIT (Google Sheets)

I have a big list of PVC windows dimensions, which has this kind of structure:

2*31*21*2

I want to sum the areas of all windows, which manually looks like this:

2*3 + 1*2 + 1*2

How to do it using a dynamic formula?

First I split cells using the * symbol.

=INDEX(SPLIT(A1:A3;"*"))2   31   21   2

Then tried a lot of combinations and the closest to desired result is:

=PRODUCT(INDEX(INDEX(ARRAYFORMULA(TRANSPOSE(SPLIT({A1:A3};"*"))));;1))6

I'm stuck with only one row and don't know how to extend it to the whole thing.