Name: Esther
Who is asking: Student
Level of the question: Secondary

Question: how do i find the area of a regular decagon with sides of length 6 cm and an apothem of 9.2 cm?

 


Hi Esther.

If you know the length of the apothem and the side length, then you can construct two identical right triangles for each side. That means 20 of these triangles in all. Since the apothem always bisects the side, you know the height and width of the triangles and can calculate the area, multiply by the number of triangles and get your answer.

Hope this helps!
Stephen La Rocque>