Thank you rl.bhat.
It seems to me that I did add the amplitudes in the way you described:
"The new wave now has an energy of E = 100 J/m^2 * 4^2 = 1600 J." To get the "4^2" I added two 2m amplitudes of the original waves that were then superposed, and then squared 4 to get 16.
Thanks...
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