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The area of a rectangle is length times width. The result will be square units - e.g., if the length and width are in cm., the area will be in square cm.

For many other figures, there are well-known formulae to calculate the area - for example, for a triange, (1/2) times base times height - where the height is perpendicular to the base; or for a circle: pi x r2, where r is the radius (half-diameter).

For an arbitrary shape, integration is used. The basic idea is to approximate the area into many small rectangles, triangles, or other shapes for which you know a formula.

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