Yes, certainly.
The trapezoid area is one half sum of bases times height and the parallelogram area is base times height
If the base of the parallelogram is equal to 1/2 the sum of he trapezoid bases, they have the same area
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They are not.
Square = parallelogram and a square trapezoid = trapezoid Parallelogram = Parallelogram
For a parallelogram, take the base times the height. For a trapezoid, take the smaller base and times it by the height.
They both use perpendicular height and are in square units. Area of a trapezoid = 0.5*(sum of parallel sides)*perpendicular height Area of a parallelogram = base*perpendicular height
A trapezoid is not a parallelogram. A trapezoid is a quadrilateral with at least one pair of parallel sides, while a parallelogram is a quadrilateral with two pairs of parallel sides. These two shapes have different properties and cannot be considered the same.