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To find the perimeter you add and to find the area we multiply.
you divide the area by four and now you can find the perimeter
Perimeter = 2*Area/Apothem.
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.