What is the meaning of 很搭? I have never heard of this adjective...?  

Also I checked on Baidu and it was less than helpful... 

http://zhidao.baidu.com/link?url=RobUqePv2YKUWD1PXNi_ZHv9awWxDw4oSQoJQPtHo5st56o9ELMlOm2-CAExjxKrGNRrEbKem5soSudPG34cCPP3Pq5XaMHdQDBCO02Oc-W
You can think of it as two words 很搭 but it generally means very compatible, suitable, a good match. 

The 很 is used as an adverb. ex: 很帥, 很酷, 很好
The 搭 is used as slang for being compatible.
You can also change up the adverb and use 滿搭

It's usually used for clothing, 你穿這件還滿搭的. This clothing matches you.