A parallelogram is a quadrilateral with two pairs of parallel sides. In the special case that the angles are right angles, the shape becomes a rectangle.
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You need two measurements for a rectangle: length x width. If both are equal, you should say so (in this case, it is a square).
A rectangle that is not square is an "oblong". Or you could say a "box".
If you meant to say "rectangle", then yes.
Just tell us the rectangle's length and width, and we'll whip out the answer faster than you can say "multiply".
That depends how wide it is; it is not possible to calculate the area without a width. (As you say "rectangle" I'm assuming the width is different to the length).