If you know the other dimension you can multiply it by the area to get the volume. Otherwise you can only get the area density (houses per square mile etc).
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You cannot. If you are given the density, the volume of the object, and the area over which the object rests, then it is possible to find the pressure. If density is "d", volume is "v", and area is "a" then pressure p = (d x v x g)/a where g is the acceleration due to gravity.
Multiply them: density*volume = mass
Density = mass/volumeMass = (density) x (volume)Volume = mass/density
You don't need to find it. From what your question states the area is already given to you.
In general you cannot find the perimeter of any shape if only the area is given.