Posted by Emily on .
Find the area of a regular pentagon if its apothem is approximately 4 ft long and each of its sides are 5.8 ft long.
So I tried dividing the pentagon into triangles...but then I came up with the answer 24.41?
I know that's not right. Can you hLep me at all?
I will be happy to critique your work. For each triangle, you have a bse of 5.8 ft, and a vertex angle of 72 deg
That means the height of the triangle is 2.6*tan54. Then you know the area (1/2 base*height), and you finally know the total area of the pentagon (five times that area).
I get about twice what you got