1. **Problem Statement:** Find the perimeter of the base of a rectangular prism where the base edges are 4 cm and 6 cm. 2. **Formula:** The perimeter $P$ of a rectangle is given by $$P = 2(\text{length} + \text{width})$$ 3. **Substitute the given values:** $$P = 2(4 + 6)$$ 4. **Calculate the sum inside the parentheses:** $$4 + 6 = 10$$ 5. **Multiply by 2:** $$P = 2 \times 10 = 20$$ 6. **Conclusion:** The perimeter of the base is 20 cm, not 14 cm as labeled. The label 14 cm might be an error or refer to something else. **Final answer:** $$\boxed{20 \text{ cm}}$$