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What is the perimeter of a pentagon where one side length is 2 inches?

  1. 4 inches

  2. 8 inches

  3. 10 inches

  4. 32 inches

The correct answer is: 10 inches

To determine the perimeter of a pentagon, it is important to understand that the perimeter is calculated by adding the lengths of all its sides. In the case presented, if one side of the pentagon measures 2 inches, it is likely that the other sides are assumed to also be of equal length, which is a common assumption for simplified problems unless specified otherwise. If the pentagon has five equal sides, each measuring 2 inches, the calculation for the perimeter would be: Perimeter = length of one side × number of sides Perimeter = 2 inches × 5 sides = 10 inches. Thus, for this specific scenario, where one side of the pentagon is given as 2 inches and all sides are equal, the perimeter accurately totals 10 inches. This understanding is essential in solving problems regarding the perimeter of regular polygons. In this case, choosing the total of 10 inches is consistent with standard calculations of the perimeter for polygons with equal side lengths.