Step 1: Identify the compound.
The molecular formula is
\[
C_6H_4Cl_2
\]
This represents dichlorobenzene, which is formed by replacing two hydrogen atoms of benzene with two chlorine atoms.
Step 2: Understand possible positions of two chlorine atoms.
In benzene, when two identical substituents are attached, only three different relative positions are possible due to symmetry.
These are:
\[
\text{ortho }(1,2)
\]
\[
\text{meta }(1,3)
\]
\[
\text{para }(1,4)
\]
Step 3: List the possible isomers.
The three aromatic benzenoid isomers of \(C_6H_4Cl_2\) are:
\[
1,2\text{-dichlorobenzene}
\]
\[
1,3\text{-dichlorobenzene}
\]
\[
1,4\text{-dichlorobenzene}
\]
Step 4: Count the total number of isomers.
Therefore, the total number of possible aromatic benzenoid isomers is
\[
3
\]
Step 5: Final conclusion.
Hence,
\[
\boxed{3}
\]
Therefore, option (2) is correct.