What distinguishes varied carpet beetle larvae in shape?

The distinctive shape of varied carpet beetle larvae is characterized by being broader at the rear than the front. This particular morphology allows them to navigate through their environments, especially when they are moving through various materials they infest, such as carpets and clothing. The broader rear end aids in stability and manipulation of their movements, which is crucial for their survival and feeding behaviors.

In contrast, the other options do not accurately reflect the larval structure of varied carpet beetles. For instance, a uniformly cylindrical shape would imply that the larvae do not have the typical tapering that is recognized in their physical form. Similarly, being longer at the front than the rear or narrow and elongated does not align with the established shape characteristic of these larvae. Recognizing the correct shape is essential for proper identification and understanding of the pest's behavior and potential damage they can cause.