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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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11y ago

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