Need help with basic latin translations?

> Is 'Litteras feminae laudamus' translated into English as 'We the women
> praise the letters'? Or, is it 'We praise letters of the woman' or 'We praise
> letters to (for) the woman'?

Although word positioning is much less important in Latin, placing
feminae after litteras is a pretty good indication that feminae is
genitive.

> Also, in the sentence 'Poetae vitam agricolae amant', is it translated as
> 'The poets love the life of the farmer', or 'The farmers love the life of
> the poet'?

Same reasoning as above applies.