△ABC的三个角从小到大依次为∠A、∠B和∠C，∠A＋∠C＝2∠B，∠B＋∠C＝3∠A，如果边长AC＝2，则△ABC的面积为（　　）。

A、<img width="16" height="41" src="http://admintk.100xuexi.com/UpLoadImage/2016-08-19/1f17d13a-3c0b-478b-be15-d183b707d670.png" />

B、<img width="44" height="45" src="http://admintk.100xuexi.com/UpLoadImage/2016-08-19/c2c98761-858e-4167-88cc-72627d87f503.png" />

C、<img width="24" height="24" src="http://admintk.100xuexi.com/UpLoadImage/2016-08-19/c7c29266-ac4c-4c21-a919-860de19f1582.png" />

D、2