Quarks are fundamental particles that are significantly smaller than atoms, with no definitive size due to their quantum nature. Measuring the area of an object containing quarks is complex, as it depends on the specific properties and interactions of the particles involved. The discussion highlights the challenges in applying standard equations to measure area when the object in question is not clearly defined. Participants emphasize the need for clarity in homework problems to provide accurate answers. Understanding quarks requires a grasp of advanced physics concepts, making it a challenging topic for students.