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One side of a regular pentagon is (4x + 5) inches, and another is (2x + 17) inches. Find the perimeter of the regular pentagon.

a) Perimeter = 5(4x + 5) inches
b) Perimeter = 5(2x + 17) inches
c) Perimeter = 5(4x + 5) + 5(2x + 17) inches
d) Need more information to find the perimeter

User Albeiro
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1 Answer

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Final answer:

The perimeter of a regular pentagon with sides (4x + 5) inches is calculated as 5 times this side length, resulting in 5(4x + 5) inches.

Step-by-step explanation:

The subject of the question is related to the perimeter of a regular polygon, specifically a regular pentagon. In a regular pentagon, all sides are equal in length. Knowing this, we can say that if one side of a regular pentagon is (4x + 5) inches, then all sides are of this length. Therefore, the perimeter, being the sum of all side lengths, would be 5 times the length of one side.

To calculate the perimeter, we use the following equation: Perimeter = (number of sides) × (side length). In this case, the perimeter would be 5 × (4x + 5) inches. So, the correct answer is Perimeter = 5(4x + 5) inches.

User Michael Schmitz
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