What is an "oddly shaped rectangle"? Rectangles have four sides, with two pairs of sides that are equal in length and parallel to each other, and four right angles. Anything that fits this definition is a rectangle, period. There's nothing "odd" about any of them. But the area of any rectangle can be found by multiplying the lengths of any two adjacent sides.
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Split the area up into shapes for which you can work out the area: rectangles and triangles. Then the area of the original room is the sum of all the areas.
It is not at all skewed. As to oddly shaped, it depends on your expectations.
A gerrymander.
Divide your oddly shaped room into smaller standard shapes. Calculate each smaller shape's area then add all of your answers together.
Geometric configurations that do not conform to standardized shapes (squares, triangles, circles, etc.) can still have their areas determined. They can be calculated by dividing the given parcel into known shapes (and thus formulae) and then calculating the areas of each, and combining their values.