Minimum number of measurements required to construct a unique rhombus (which is not a square) =
To begin with, since all the sides of a rhombus are equal, all we need to know is the length of one side.
Now, while constructing the rhombus which is not a square, we need to know at least one angle (since all the angles in a rhombus need not necessarily be equal).
Therefore, in total we need at least 2 measurements to construct a unique rhombus.