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To find the area of the as shown in the figure, the base is divided into number of equal intervals of width . The ordinates are accurately measured. The approximation used in this rule is to assume that each strip is equal to the area of a trapezium. Therefore Area of a Trapezium (Sum of parallel sides) (perpendicular distance between the parallel sides)
Hence, the first strip, the approximate area is  For the second strip, approximate area is , and so on. Therefore, approximate area of      Area width of Interval sum of first and last ordinate + Sum of remaining ordinates
Example: Find the area of cross-section of a river along a line where the depths at equal intervals of m, are noted as m, respectively. Solution: Width of each strip, m Ordinates are  Since, Area width of Interval sum of first and last ordinate + Sum of remaining ordinates square meter.
Example: Apply trapezoidal rule to find the area of a plot of land having the following dimensions: Ordinates: and m Common distance: m Solution: Given that m, m, m, m, m respectively and m By Trapezoidal Rule Area   square meter.
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