Final answer:
The length of each side of a regular pentagon with a perimeter of 45 inches is found by dividing the total perimeter by the number of sides, resulting in each side being 9 inches long.
Step-by-step explanation:
To find the length of each side of a regular pentagon with a perimeter of 45 inches, we would divide the total perimeter by the number of sides a pentagon has. Since a regular pentagon has five equal sides, we would calculate the length of one side as follows:
- Perimeter of the pentagon = 45 inches
- Number of sides in a pentagon = 5
- Length of one side = Perimeter ÷ Number of sides
Therefore, the length of one side = 45 inches ÷ 5 = 9 inches.
So, the length of each side of the regular pentagon is 9 inches.