在农夫家吃饭英文表达方式有两种：

Eat at a farmer's home

这个表达方式直接描述了在农夫家吃饭的意思，用法如下：

I had a great time eating at a farmer's home last weekend.
(我上周末在农夫家吃饭玩得很开心)
They invited us to eat at their farmer's home next weekend.
(他们邀请我们下周末去他们农夫家吃饭)
Dine with a farmer

这个表达方式用了"dine"这个动词，意思是与农夫一起共进饭菜。用法如下：

I had the opportunity to dine with a farmer last week.
(我上周有机会和农夫一起共进饭菜)
They are inviting us to dine with them at their farmer's home next week.
(他们邀请我们下周去他们农夫家和他们一起共进饭菜)

"Dine"这个动词来源于拉丁语"dis-"，意思是"分开"，后缀"-nus"意思是"做什么"，所以"dine"的本意是"分开做什么"，也就是"共进饭菜"的意思。