You have P = 472 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the dimensions (width x and length y) of the plot that will maximize the area.
The width would be 236 and the lengths would be 118
Use the equations 2L+W=472 and W*L=MAX Change the first equation to W=472-2L and plug this into the other equation (472-2L)(L)=MAX 472L-2L^2=M (take derivative) 472-4L=0 (set to 0 to find the max value) 4L=472 L=118 Plug into original to get W=236
