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The pressure on a surface is defined to be the net force on the surface divided by the surface's area. In other words, pressure is force per unit area. Mathematically, we would write the definition of pressure as Pressure = (Net Force)/Area. We can rearrange this equation using the rules of algebra to get Area = (Net Force)/Pressure. We can then replace Net Force and Pressure with the numerical values you have for them in order to get a numerical value for Area.

Remember to check your units for the numerical values you have for Force and Pressure in order to get the correct unit for your numerical value of Area. For example, if your value for force is in units of Newtons, and your value for pressure is in units of Pascals, then your unit for Area would be square meters. Pascals are Newtons per square meter, canceling out the unit of Newtons in the denominator by dimensional analysis (units are treated as numerical constant factors). However, if your unit of pressure is something not so easily compatible with your unit for force, such as Newtons for force and Torr for pressure, then you should convert one or both units to compatible ones to get a meaningful numerical result.

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