A slanted rectangle is a parallelogram in the same way that a slanted square is a rhombus.
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I believe the word you're looking for is "parallelogram," though the description given in the question isn't precise enough for me to be certain.
A parallelogram
parallelegram is the name it is a rectangle that is sort of slanted
A parallelogram.
A parallelogram is slanted. A rectangle is not.
A Parallelogram