I reinforced the entire inside of my ski - sides, bottom, nose, handle pole mounting area, even cut the tray open and reinforced the sides of the gunwhales.
I use US compsites epoxy resin/hardener - 635 thin - 4:1 fast dry
http://shopmaninc.com/epoxy.html
I use 8.5 oz cloth
http://shopmaninc.com/cloth.html
I did a 3" wide strip over the bond line, then a 6" wide strip over that, then did the entire side (hood seal to bottom). Lay them in the same session so they are chemically bonded, not mechanically bonded. This way allows for maximum strength where needed, and helps keep the weight down.
reinforcing the bottom is likely a bit overkill, but I do thrash my ski pretty hard. Lake Erie (yes lake not ocean) is very unforgiving in the fall. We get pretty large waves, tight intervals and hard core winds... the ski takes a beating.
For flat to choppy lake riding though, I would say to just do the sides, pole area, and possibly the nose... (I nose stab the bottom quite often).
Remember, good prep is key - and make sure to take your time around the hood seal area. In fact, I recommend you pay more attention to that area instead of the bottom.
Oh, and even with all the reinforcing I did, I did not use 2 part exapnding foam in the tray... instead I used the same foam Kawasaki uses and cut the weight down. My ski is only around 280 lbs dry weight vs 305 for my other RN.
Anyway, take your time, prep good, work the airbubbles out... and DO NOT use more resin/hardener than you need to. Use just enough to wet out the cloth. anything more will just be brittle.
hope that helps.