This is very similar to this question and it has many of the details your are looking for.
But suffice to say, it is not the job of the OS to track any of this. It's actually the runtime libraries or the underlying memory manager that will track the size of the array. This is usually done by allocating extra memory up front and storing the size of the array in that location (most use a head node).
This is viewable on some implementations by executing the following code
int* pArray = new int[5];
int size = *(pArray-1);