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# How do you calculate a floor area ratio?

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The floor area ratio is calculated by taking the square footage of a building and dividing it by the square footage of the property that the building sits on. The floor area ratio is useful to local governments in showing the density of a property or area for zoning decisions.

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The square footage of the building includes all floors of the structure when calculating the floor area ratio. For example, a two-story building of 3,000 square feet on a 4,000-square-foot lot has a ratio of 0.75. The same lot with a single-story building of 3,000 square feet would have the same ratio of 0.75.

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## Related Questions

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Arithmetic formulas originate from the need to determine the value or position of a specific term within an arithmetic sequence, where the difference between successive terms is a constant d, such as "an = a1 - (n - 1)d." Geometric formulas are derived from a similar need but applied to a geometric sequence with a common ratio of r, such as "an = a1 * r^(n - 1)."

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A true proportion is a mathematical equation which states that one ratio is equal to another. A true proportion will often be written in the following format: a:b = x:y in which the ratio between a and b is equal to the ratio between x and y.

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The value of y in the linear interpolation equation is defined as a sum of y0 and the product of y differential (y1 – y0), multiplied by the ratio between differentials of x ((x – x0) divided by (x – x1)). This is a method of calculating the unknown value of y for any given x on the interval between two known points with coordinates (x0,y0) and (x1,y1).