Suppose 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 the following figure and in the table. Use Simpson's Rule to approximate the area of the lake. Round your answer to two decimal places.
?
where a = 300, b = 200, c = 400
?
x
0
100
200
300
400
Width w(x)
0
300
200
400
0
A. 64,000 sq ft
B. 106,666.67 sq ft
C. 120,000 sq ft
D. 73,333.33 sq ft
E. 53,333.33 sq ft
Answer: B
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