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A regular pentagon has an area of 124.25 square meters, and each side of the pentagon measures 7.1 meters.

What is the length of an apothem of the pentagon?

Answer :

Answer:

7.076 m

Step-by-step explanation:

First, calculate the perimeter of the pentagon by multiplying the number of sides by the length of one side. This is equal to 5 * 7.1 = 35.5 meters.

Divide the perimeter by 2 to find the length of one side of the pentagon's inscribed triangle. This is equal to 35.5 / 2 = 17.75 meters.

Use the formula for the area of a regular pentagon to find the length of the apothem: A = (Perimeter * Apothem) / 2. Solving for the apothem:

Apothem = (2 * Area) / Perimeter = (2 * 124.25) / 35.5 = 7.076 meters.
Answer:
7.076 m
Step-by-step explanation:
First, calculate the perimeter of the pentagon by multiplying the number of sides by the length of one side. This is equal to 5 * 7.1 =
35.5 meters.
Divide the perimeter by 2 to find the length of one side of the pentagon's inscribed triangle.
This is equal to 35.5 / 2 = 17.75 meters.
Use the formula for the area of a regular pentagon to find the length of the apothem: A = (Perimeter * Apothem) / 2. Solving for the apothem:
Apothem = (2 * Area) / Perimeter = (2 *
124.25) / 35.5 = 7.076 meters.

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