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

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

User Castiel
by
7.4k points

1 Answer

2 votes
area=5/2*apothem*side
so
side=(2*area)/(5*apothem)
in your case
side=(2*37.2)/(5*3.2)=4.65m

User Kasapo
by
7.7k points
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