A land developer is planning to dig a small lake and build a group of homes around it. To estimate the cost of the project, the area of the lake must be calculated from the proposed measurements (in feet) given in Figure and in the data in the table. Use Simpson’s Rule to approximate the area of the lake.

x . . . . . . . . . . . . . . . . . Width w(x)
0 . . . . . . . . . . . . . . . . . . . . 0
100 . . . . . . . . . . . . . . . . . 300
200 . . . . . . . . . . . . . . . . . 200
300 . . . . . . . . . . . . . . . . . 400
400 . . . . . . . . . . . . . . . . . . 0

Transcribed Image Text:

300 200 400 + 200 + 300 100 400 to