SOLUTION: Find the area of the regular polygon. Give the answer to the nearest tenth. pentagon with side 10 cm

Algebra ->  Polygons -> SOLUTION: Find the area of the regular polygon. Give the answer to the nearest tenth. pentagon with side 10 cm      Log On


   



Question 590882: Find the area of the regular polygon. Give the answer to the nearest tenth.
pentagon with side 10 cm

Answer by ad_alta(240) About Me  (Show Source):
You can put this solution on YOUR website!
We can think of a regular pentagon as being composed of 10 right triangles with base 10/2=5. Next, determine the length of the apothem. The area is about 172.05 cm^2. We can also use the formula (5s^2/4)tan(54) for side 's,' which gives the same answer.