A prism with a parallelogram base has base area 80 cm^2 and height 12 cm. If its lateral surface area is 384 cm^2, what is the perimeter of the base?
32 cm
The lateral surface area of a prism equals the perimeter of its base multiplied by its height, so \(\text{LSA} = P \times h\).
Substituting the given values, \(384 = P \times 12\).
Solving, \(P = \frac{384}{12} = 32\).
Hence, the answer is 32 cm.