As a farmer, suppose you want to fence off a rectangular field that borders a river. You wish to find out the dimensions of the field that occupies the largest area, if you have 1500 feet of fencing. Remember that a square maximizes area, so use a square in your work.
-Draw several diagrams to express the situation and calculate the area for each configuration, then estimate the dimension of largest possible field.
-Find the function that models the area in terms of one of its sides.
-Find the point that maximizes the function you found in the second bulleted item.
-Calculate the area of the field at the point you found in the third bulleted item, and then compare your results with the results in the first bulleted item.