What size surfboard should l ride (I am about 5'7 or 5'8)
l weigh roughly 117 pounds and imlooking for a shortboard.

u should either get a long board about 6'2 or a short board about 5'3

This link tells you which board is best for your weight and level of experience:
http://biltsurf.com/weight_chart.html

This may not concern you, but be honest with yourself, if you do not think your experienced enough for a shortboard, do not get one because it will hold you back; you're better off with a fun-shape/minimal , if you feel you're ready for one then go for it! a shortboard should usually be around 2''-3'' taller than the surfer.

it does not matter get a 5'7 l surf all the time it would work great 4 u