As promised here is a picture of Carcassonne with the farms outlined for your convenience. We will be posting more about this in the future as well.
As you can see, the blue farm has 2 blue meeples and 1 green meeple. This means that blue has claimed the farm. The blue player gets 21 points for this farm because it touches 7 different cities. There is a small red farm in the bottom right hand corner as well which is worth 3 points. The big grey farm with the blue and the green meeples on it gives both players points but there are no completed cities there so it is worth 0 points.
Board GamesCarcassonneCarcassonne FarmersCarcassonne Scoring