If you look at American wire gauge - Wikipedia, the free encyclopedia, the resistance of #10 AWG copper wire is about 1 milliOhm per foot and #12 is 1.6 milliOhm per foot. That means that 100' of extension cord, 200' out and back, has a resistance of 0.20 Ohms for #10 and 0.32 Ohms for #12. Because Voltage drop is I*R, with a 12 Amp draw, you would get a Voltage drop due to wire only of 2.4 Volts for the #10 and 3.8 Volts for the #12 cord, both very reasonable. Power in the cord is I^2*R, or 29 Watts for the #10 and 46 Watts for the #12. Both are fine is the wire is spread out, but if you leave the wire coiled up (especially for the #12), its going to start getting warm. You don't have to completely unspool all of the wire, but just spreading out the unneeded length some (especially for the #12) is a really good safety practice.
The place where heat can really build up is at the connectors. Two 50' cords are more convenient, but that setup adds one more set of connectors.
Whatever you do, follow the safety practice of checking all connections and the wire in the middle to see if anything is getting uncomfortably hot. Comfortably warm to the touch will not start a fire, but it can take a while for large masses to warm up. Do this check a few minutes after charging starts and 15-20 minutes later. If anything is getting uncomfortably hot, fix it so the hot spot cools off, or stop charging!
Thanks so much for the technical information along with providing us with very important guidelines on how to properly check our equipment for safer charging in the wild.
You, FlasherZ and Cosmacelf are a wealth of information. Thanks!