As a farmer, suppose you want to fence off a rectangular field that borders a river....

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 1200 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.

Expert Solution

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Colby Messinger answered 2 years ago

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