Hello!
The definition of a pressure is a force over an area, or more precisely the quotient of a force acting perpendicularly to a flat surface, to the area of that surface:
P = F/A.
The unit of a pressure is Newton divided by meter squared, `N/m^2.` It is called Pascal and is denoted as Pa. So it is simple to find an area when the pressure in Pa and the force in N are given:
A = F/P.
In our case it is equal to 100 N / 500 Pa = 0.2 `m^2.` This is the answer.
Blaise Pascal (1623 – 1662) is a famous physicist, mathematician and philosopher who discovered among other things Pascal's Law (or principle) of transmission of fluid-pressure. The principle states that pressure exerted anywhere in a confined incompressible fluid is transmitted equally in all directions throughout the fluid.
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