Question 1149184
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The rhombus is comprised of two EQUILATERAL triangles with the side length of  a = {{{3/sqrt(3)}}} = {{{sqrt(3)}}} centimeters.


The area of each of the two equilateral triangles is  {{{a^2*(sqrt(3)/4)}}} = {{{(sqrt(3))^2*(sqrt(3)/4)}}} = {{{3*(sqrt(3)/4))}}} = {{{(3*sqrt(3))/4}}} cm^2.


Hence, the area of the rhombus is twice this value, i.e.  {{{(3*sqrt(3))/2}}} cm^2.       <A>ANSWER</U>
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Solved.