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You divide it up into regular shapes: rectangles, triangles, semicircles. Then use the formulae for these shapes and add the results together.

If you cannot do that - because the shape is just too irregular, draw a scaled version of the shape on a board of uniform thickness. Cut the shape out and find its mass (or weight). Also, draw a square foot on the board to the same scale and get its mass. The square footage of the room is the ratio of the masses (or weights).

You could also draw a scaled version of the room on a grid representing a unit area. Count the number of squares that are at least half inside the sketched room. Ignore all squares that are less than half inside. The number of squares inside multiplied by the square footage of each square will give the approximate area of the room. The finer the grid, the more accurate the result (but it will also be harder work).

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