Answer: The area of rhombus is 36 square units.
Step-by-step explanation:
Since we have given that
ABCD is a rhombus, with all sides equal i.e. 3 cm.
As we know the formula ,
[tex]\text{ Area of rhombus}=\frac{1}{2}\times d_1\times d_2\\ where\\d_1\ and\ d_2\text{ are two diagonals}[/tex]
So, here in our case,
[tex]d_1=AC=6\ units\\d_2=BD=12\ units[/tex]
So, now , we'll use the formula for area of rhombus ,
[tex]\text{ Area of rhombus}=\frac{1}{2}\times 6\times 12=\frac{72}{2}=36\text{ units}[/tex]
Hence , the area of rhombus is 36 square units.
