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A parallelogram is a degenerate trapezoid: as the longer of the parallel sides of a trapezoid shrinks to the length of the shorter parallel side, the trapezoid becomes a parallelogram.
It is truer to say that the area of a trapezoid helps to find the area of a parallelogram:
area_trapezoid = mean_average_of_parallel_sides x distance_between_them
= 1/2 sum_parallel_side_lengths x distance_between_them
When the parallel sides are of equal length this becomes:
area = (1/2 x 2 x length_of_parallel_sides) x distance_between_them
= length_of_parallel_sides x distance_between_them
= area_parallelogram
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