Final answer:
The question deals with finding the perimeter of a prism's base using its lateral area and height. By dividing the lateral area (140 units squared) by the height (10 units), we confirm that the perimeter of the prism's base is 14 units.
Step-by-step explanation:
The question you asked relates to the geometry of a rectangular prism. Specifically, it deals with the concepts of lateral area, perimeter, and volume. To answer your question, we use the provided lateral area and height to find the perimeter of the base. Since the lateral area of a right rectangular prism is the perimeter of the base times the height, you can find the perimeter by dividing the lateral area by the height. The calculations would then be as follows:
Lateral Area = Perimeter of base × Height
140 units² = Perimeter of base × 10 units
Perimeter of base = 140 units² / 10 units
Perimeter of base = 14 units
This confirms the assertion in the question that the perimeter of the base is indeed 14 units. Remember, the perimeter of a rectangle is the sum of all its sides, and since it's the base of the prism, it means twice the sum of its length and width.