Which of the following roof types is considered a variation of the gable roof?

A gambrel roof is indeed a variation of a gable roof, distinguished by its dual-pitched design on each side. This design features two slopes, with the lower slope being steeper than the upper one. It creates more vertical space in the attic, making it an ideal choice for barns and other structures where maximizing interior space is crucial. The characteristic shape of a gambrel roof resembles that of a traditional gable roof, but the added complexity of the two slopes sets it apart, blending the benefits of both styles.

The other roof types listed do not fall under the category of gable roof variations. Hip roofs feature slopes on all four sides and do not have the traditional peak of a gable roof. Shed roofs consist of a single slope, lacking the symmetry associated with gable roofs. Flat roofs are characterized by their minimal pitch and do not share the angular design of a gable roof. Thus, the unique structure of a gambrel roof distinctly identifies it as a variant of the gable roof style.