Should Save/Update repository methods use a new data context?

Question

Should each save/update method in a LINQ-to-SQL repository be wrapped in a new data context?

Consider the SavePage method in my partial SqlPageRepository:

public class SqlPageRepository : IPageRepository
{
    private DB _db;

    public SqlPageRepository(DB db) // I use IoC
    {
        _db = db;
    }

    public IQueryable<Page> GetPages(Page page)
    {
        var pages = from p in _db.Pages
                    select new Page
                    {
                        // return page class
                    };
        return pages;
    }

    public void SavePage(Page page)
    {
        using(DB db = new DB()) // IMPORTANT?
        {
            // save/update page in database
        }
    }
}