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Find the area of a regular decagon with an apothem of 5 meters and a side length of3.25 meter. Round to the nearest tenth

2 Answers

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Answer: 81.3

Explanation:

User Carrosive
by
5.1k points
3 votes
we know that

The regular decagon can be divided into 10 congruent triangles
so
area regular decagon=10*[area of one triangle]

area triangle=b*h/2
where
b=3.25 m
h is the aphotem
h=5 m
area=3.25*5/2----> area=8.125 m²

area regular decagon=10*[8.125]----> 81.25 m²

Area=81.3 m²

the answer is
81.3 m²
User Rubixibuc
by
5.2k points