A farmer, well versed in traditional optimization problems, has decided to buy a rectangular plot of 3872 square meters of land on the bank of a river, and surround it on three sides by a fence. The side facing the river, will, of course, remain unfenced.

What are the dimensions of the plot of land that can be surrounded by the minimum possible fencing?

how would I be solving this problem? could you also state what the equations will be?