Trapezoidal rule (cont'd)

Calculation of the area of a trapezoid

The area of the trapezoid shown in the figure is equal to the area of a rectangle that have a similar width (w) and a height of (a+b)/2.

This is because the triangle 1 and the triangle 2 are equivalent and have similar areas.

Area of the trapezoid = average height x width

Area of the trapezoid =

(a+b)

2 .(W)
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