There is no relationship between the perimeter and the area of a rhombus.
Take a rhombus with all 4 sides = 2 units. Therefore the perimeter is 8 units.
There are an infinite number of possible areas for this rhombus.
The largest possible area will be when the rhombus approaches the shape of a square = 4 square units.
The smallest area will be when the one diagonal approaches 0 units and the other diagonal approaches 4 units (squashed almost flat).
So two very extreme areas can have the same perimeter, including all those areas in-between.
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Perimeter = 4*Side so that Side = Perimeter/4 Area of a rhombus = Side * Altitude so Altitude = Area/Side = Area/(Perimeter/4) = 4*Area/Perimeter
In general you cannot find the perimeter of any shape if only the area is given.
You cannot. For a given area, an equilateral triangle will have the smallest perimeter but that perimeter can be increased - without limit - without increasing the area.
That will depend on the lengths of the diagonals of the rhombus which are of different lengths and intersect each other at right angles but knowing the lengths of the diagonals of the rhombus it is then possible to work out its perimeter and area.
Unless the area is a regular polygon (or a circle) you cannot.