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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

Q: Can a trapezoid and parallelogram 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.

The formula for the area of a trapezoid is a combination of the formulas for the areas of a triangle and a rectangle. It can be seen as two congruent triangles placed together to form a parallelogram. So, the formula for the area of a parallelogram is a generalization of the formula for the area of a trapezoid.

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.

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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.

A trapezoid is not a type of parallelogram. A parallelogram is a type of trapezoid.

The formula for the area of a trapezoid is a combination of the formulas for the areas of a triangle and a rectangle. It can be seen as two congruent triangles placed together to form a parallelogram. So, the formula for the area of a parallelogram is a generalization of the formula for the area of a trapezoid.

is a trapezoid a parallelogram

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.

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

trapezoid

No, a parallelogram is not always a trapezoid, but they are both four-sided quadrilaterals. A parallelogram has two pairs of parallel sides, and a trapezoid has only one pair of parallel sides.

No, a parallelogram is not a trapezoid.

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