The area a meadow was approximated by measuring the length of the meadow at 30-foot intervals. THe distances measured across the meadow were 76 ft, 118 ft, 130 ft, 143 ft, 139 ft, 136 ft, 137 ft, 139 ft, 130 ft, 122 ft, and 60 ft. Use Simpson's Rule to approximate the area of the meadow.

Question

The area a meadow was approximated by measuring the length of the meadow at 30-foot intervals.  THe distances measured across the meadow were 76 ft, 118 ft, 130 ft, 143 ft, 139 ft, 136 ft, 137 ft, 139 ft, 130 ft, 122 ft, and 60 ft.  Use Simpson's Rule to approximate the area of the meadow.

drwls · Answer

Have you run out of names yet?

Simpson's rule is easy, accurate and fun to apply. Give it a try. I assume you know the formula.

(h/3)(x1 + 4x2 + 2x3 +... 4xn-1 + xn)

There have to be an odd number of measurement points, and that is the case here.

h = 30m in this case.
the x's are the widths at each y position. x1 = 76 etc.

?????? · Answer

I guess you have Mrs. Pompelia