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It is not clear what you mean by an incomplete rectangle. If it means the rectangle is not closed then there is a problem of defining its area: what is inside and what is outside when you do not have a boundary?
The perimeter of a rectangle is the distance around the rectangle. The area of a rectangle is the space inside the rectangle. To calculate either one you need the length and the width of the rectangle. To calculate the area multiply the length times the width. To calculate the perimeter add the length+width+length+width (that is the distance all the way around)
Area in square units = base*height
Calculation of an area depends on what type of area you are trying to measure. The formula for a square (s2) is different for that of a rectangle (lw), which is different from that of parallelogram (bh). See the list of related articles for how to calculate various areas.
There is no formula for a rectangle. There are formula for calculating its area, perimeter or length of diagonals from its sides, or it is possible to calculate the length of one pair of sides given the other sides and the area or perimeter, or the two lots of sides given area and perimeter and so on.
It's half the area of a rectangle