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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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Q: How do you find the perimeter of a rhombus when area is given?
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