The measurements of length can be viewed as measuring “top minus bottom” of two functions. The exact answer is found by integrating but of course we don’t know the functions and Our discrete measurements instead allow us to approximate.
We have the following data points:
We also have that so Simpson’s Rule gives
Since the measurements are in hundreds of feet, square units are given by (100 ft)10,000 ft2, giving a total area of 440,133 ft2. (Since we are approximating, we’d likely say the area was about 440,000 ft2, which is a little more than 10 acres.)