Question

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

Answer 1

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