Originally Answered: Is the Jasmine by Takamine S34C NEX guitar a 3/4 size or a 4/4 size?
Check out http://guitarcasesonline.com/acoustic-guitar-cases
A good case will be the TKL Dreadnought 6/12 String Guitar Bag, Teal Trim – 5215
The site lists all the dimensions of the cases they showcase (although many gig bags don't have measurements, because they are naturally flexible.)
Your guitar is a standard dreadnought size (less curvy than the standard acoustic guitar). There are a lot of Jumbo Guitar Cases, which may be the source of your confusion, as they would make your regular sized guitar seem small.
And, by the way on the home page of the site, it tells you the standard names for the measurements you gave, which are the Depth, Body Length, (no standard term for the nut to bridge measurement), and Lower Bout.