Using the formula for calculating the area of a rhombus, the length of /AC/ is 44 units
From the question, we are to determine the length of AC
The area of a rhombus is given by
[tex]A = \frac{pq}{2}[/tex]
Where A is the area
p and q are the diagonals
Then, for the given diagram,
[tex]A = \frac{/DB/ \times /AC/}{2}[/tex]
From the given information,
A = 264 square units
/DB/ = 12 units
∴ [tex]264 = \frac{12\times /AC/}{2}[/tex]
[tex]264 = 6\times /AC/[/tex]
[tex]/AC/ = \frac{264}{6}[/tex]
/AC/ = 44 units
Hence, the length of /AC/ is 44 units
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