Answered

IDNLearn.com offers a unique blend of expert answers and community-driven knowledge. Find the information you need quickly and easily with our comprehensive and accurate Q&A platform.

Select the correct answer.
This is a regular pentagon. The apothem is shown. What is perimeter of the pentagon?
5 cm
OA
18.2 cm
B.
30.7 cm
C.
36.3 cm
D.
43.8 cm

Sagot :

Abidemiokinidn

The perimeter of the pentagon with apothem of 5cm is 28.87cm

How to calculate the perimeter of a pentagon

The sum of all the external sides of the pentagon is its perimeter.

First we need to calculate the half of one of its sides using the SOH CAH TOA

tan 30 = x/5

x = 5 tan 30

x = 2.89

One of the sides = 2(2.89) = 5.77 cm

Perimeter of th pentagon  = 5(5.77) = 28.87

Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm

Learn more on perimeter of pentagon here: https://brainly.com/question/11484726

View image Abidemiokin
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.