Question

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?

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Answer 1

Explanation:

Answer 2

7 m

Explanation:

To find the length of the apothem of a regular pentagon, we can use the formula:

apothem = (side length) / (2 * tan(180/n))

where n is the number of sides of the regular polygon.

In this case, the side length of the pentagon is 7.1 meters and n is 5. Plugging in these values, we get:

apothem = (7.1) / (2 * tan(180/5))

apothem = 7 meters (rounded to the nearest meter)

Therefore, the length of the apothem of the pentagon is 7 meters.