Question

q. find the perimeter of the pentagon shown. (note: all sides of the pentagon are the same length.)

a. 625 ft
b. 423.4 ft
c. 530.72 ft
d. 575.5 ft

Explanation:

Identify the given properties of the pentagon

The problem states: "All sides of the pentagon are the same length."
From the diagram, one of the side lengths of the pentagon is explicitly labeled as \(115.1\text{ ft}\).

Calculate the perimeter

A pentagon has exactly 5 sides. Since all 5 sides are equal in length:

$$ P = 5 \times 115.1\text{ ft} $$

$$ P = 575.5\text{ ft} $$

Match with the multiple-choice options

The calculated perimeter of \(575.5\text{ ft}\) matches option D.

Answer:

• A. 625 ft
• B. 423.4 ft
• C. 530.72 ft
• D. 575.5 ft (Correct answer)