A trapezoid can be divided into a rectangle and two triangles. Show that the area formula for a trapezoid gives the same result as the sum of the areas of the rectangle and triangles.
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Area of a trapezoid ... $\displaystyle A = \frac{h}{2}(B_1 + B_2)$
using the sketch where $\displaystyle x_1 + B_1 + x_2 = B_2$ , write the area as the sum of the areas of the rectangles and the two triangles ... then perform some algebra to make it look like the trapezoid area equation.