If the name of a file is extending outside the module border, it may be that the name is long and without spaces. File names may be edited in the module. Just click anywhere on the file name and you'll see an I-beam cursor indicating that you may edit the name.
For 508 accessibility, file display name should not be the same as you might use when storing files on your computer and should not use file extensions. For example, use Field Trip Permission Form rather than field_trip_form.pdf.