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It does not. The perimeter of a parallelogram is a characteristic of the parallelogram. The orientation: which side is considered a base makes do difference whatsoever.
The base of a parallelogram is parallel to its opposite side.
The choice of the base of a parallelogram does change the area because the base is always the bottom line of parallelogram.
Parallelogram = Base*Height Triangle = 0.5*Base*HeightParallelogram = Base*Height Triangle = 0.5*Base*HeightParallelogram = Base*Height Triangle = 0.5*Base*HeightParallelogram = Base*Height Triangle = 0.5*Base*Height
It is a right angled parallelogram.