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A regular pentagon has an apothem of 3.2 m and an area of 37.2 square meters. What is the length of one side of the pentagon?

A regular pentagon has an apothem of 3.2 m and an area of 37.2 square meters. What is the length of one side of the pentagon?
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A regular pentagon has an apothem of 3.2 m and an area of 37.2 square meters. What is the length of one side of the pentagon?

User Hkf
by
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2 Answers

2 votes

Answer:

4.65m

Explanation:

User Gulpr
by
8.1k points
6 votes
area = # sides * side length * apothem / 2
side length = (2 * area) / # sides * apothem
side length = 2 * 37.2 / 5 * 3.2
side length = 74.4 / 16
side length = 4.65 meters


User TomSelleck
by
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