The formula for the area of a trapezoid can be derived graphically. If any trapezoid is duplicated, this shape can be rotated 180 degrees and rearranged, along with the original trapezoid shape, into the shape of a parallelogram. If the original trapezoid has base side lengths b1 and b2 and a height h, the resultant parallelogram will have sides of length"b1 + b2 and height h. The area of a parallelogram is given by the formula A = base x height, so the newly generated parallelogram will have an area of A = (b1 + b2)h. Since this parallelogram is comprised of two trapezoids of equal area, the area of one of these trapezoids is just half that of the parallelogram, or A = h(b1 + b2)/2.
