Perimeter = 12. Let the side of the rhombus be “a”, then 4a = 12 => a = 3. One angle = 120°.
Adjacent angles of a rhombus are supplementary. Therefore, the other angle = 60°.
Diagonals of a rhombus bisect each other, therefore, ∟DAC = 60°, ∟BAC =60° and ∟DCA =60° . therefore, Triangle DAC and BAC are equilateral triangles.
Therefore, Area of Rhombus = 2* Area of the Equilateral Triangle = 2 * * a^{2} = * 9 = 9*.
Correct Answer: 9*