Notice: Payments for answers will end 4/10/2017. Click for more info.
You have new items in your feed. Click to view.
Question and answer
Q: Find the area of a regular hexagon if its perimeter is 60 cm.
A: This question has not been answered. Can you answer it? Please add your answer below ...
Question
Asked 6/18/2010 2:15:36 PM
Updated 6/19/2010 2:38:35 AM
1 Answer/Comment
Get an answer
New answers
Rating

There are no new answers.

Comments
Perimeter, P = 60 cm
Since a hexagon has six sides, each sector can be found as follows;

6s = P
s = P / 6
s = 10 cm

Each sector is an equilateral triangle.

Height of each equilateral triangle equals the length of the line segment from the center of the hexagon to middle of each side.

The bisector of each side is 5 cm from the vertex.

Height of each triangle can be found as follows;

h^2 + 5^2 = 10^2
h^2 + 25 = 100
h^2 = 75
h = 5 sqrt(3)

The area of each equilateral triangle is

At = 1/2 s h
At = 1/2 10 * 5 sqrt(3)
At = 25 sqrt(3) cm^2

Since each hexagon is made up of 6 equilateral triangles, the area of the hexagon Ax is 6 times greater than the area of the triangle At.

Ax = 6 At
Ax = 6 (25 sqrt(3))
Ax = 150 sqrt(3) cm^2

sqrt(3) = 1.73,
--> Ax = 150*1.73 = 259.5 cm^2

Added 6/19/2010 2:38:35 AM
Add an answer or comment
Log in or sign up first.
26,400,552 questions answered
Weegy Stuff
S
P
P
L
P
P
P
Points 130 [Total 1866] Ratings 3 Comments 100 Invitations 0 Offline
S
Points 69 [Total 80] Ratings 5 Comments 19 Invitations 0 Online
S
Points 30 [Total 30] Ratings 3 Comments 0 Invitations 0 Offline
S
Points 16 [Total 16] Ratings 0 Comments 6 Invitations 1 Offline
S
L
Points 15 [Total 112] Ratings 0 Comments 15 Invitations 0 Offline
S
Points 10 [Total 10] Ratings 1 Comments 0 Invitations 0 Offline
S
Points 10 [Total 10] Ratings 1 Comments 0 Invitations 0 Offline
S
Points 10 [Total 10] Ratings 1 Comments 0 Invitations 0 Offline
S
Points 10 [Total 10] Ratings 1 Comments 0 Invitations 0 Offline
S
Points 5 [Total 5] Ratings 0 Comments 5 Invitations 0 Offline
* Excludes moderators and previous
winners (Include)
Home | Contact | Blog | About | Terms | Privacy | © Purple Inc.