That depends upon what you know about the parallelogram.
If you know the area and base length, then:
area of parallelogram = base X height
height =area / base
If you know the lengths of the two pairs of parallel sides and the angles, then trigonometry can be used.
If the height is required between one pair of sides, then:
height = other_side_length / sine(angle_between_sides)
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Base x Height
The height and longer diagonal do not provide enough information to calculate the sides.
Perimeter is the sum of its 4 sides Area is its length times its perpendicular height
The area of a parallelogram is the base times the height; the height must be measured perpendicular to the base. If you correctly measure the height perpendicular to the base and you get different measurements, then you are NOT dealing with a parallelogram.
The height is the length of its altitude.