The multiplication of the given expression is?

$360\times 12$

The multiplication of the given expression is obtained by multiplying $360\times 10$and $360\times 2$such that:

$360\times 10=3600$

$360\times 2=720$

Adding the above two expressions we get:

$$\begin{gathered} 360\times 12=3600+720 \\ =4320 \end{gathered}$$

So, the correct option is A.