From a transit line to the edge of a river a series of perpendicular offsets are taken. These offsets are spaced 4.0 m apart and were measured in the following order: 0.5 m, 1.4 m, 2.5 m, 5.6 m, 8.5 m, 7.4 m, 3.8 m, 5.1 m, and 2.3 m. Determine the area included between the transit line, the river's edge and the line offsets using (1) Trapezoidal Rule, (2) Simpson's One-Third Rule.

The term dimensional homogeneity means that in an equation, the dimensions of each term on both sides are equal, which means the dimensions of the left-hand side (LHS) of an equation are similar to the dimensions of the right-hand side (RHS). For a dimen…