A farmer discovers diamonds and gold on his farm. He decides to live on the area marked "A", exactly in the middle of the farm, and to leave the mining activities to his four sons. Add 12 sticks to show how he should divide the rest of the farm equally between his four sons so that:
(1) all 4 farms have the same shape
(2) there is 1 diamond mine on each farm
(3) there is 1 gold mine on each farm?
Can you solve the puzzle by adding 12 sticks to the existing farm?