Question and answer
Find the area of a regular hexagon if its perimeter is 60 cm.
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.
Questions asked by the same visitor
what is the square root of three?
Weegy: A square root is the number that is multiplied by itself to get another number. Since two multiplied by two (itself) is four, the square root of four is said to be two. (More)
Question
Updated 6/18/2010 8:42:10 AM
1 Answer/Comment
The square root of 3 is 1.7320508075689
Added 6/18/2010 8:42:10 AM
The perimeter of a rectangle is 100 feet. The length can be represented by (6x - 2) feet and the width can be represented by (x + 3) feet. What is the value of x?
Weegy: perimeter of a rectangle, P = 2(l + w) --> 100 = 2([(6x-2)+(x+3)] = 2(6x-2+x+3) -->100 = 12x-4+2x+6 --> 100 = 14x+2 --> 14x = 98 --> x = 98/14 = 7 (More)
Question
Expert Answered
Asked 6/18/2010 8:06:19 AM
0 Answers/Comments
How can i find geometry flvs answers?
Weegy: I don't know what flvs is User: how can i find florida virtual school answers for geometry? Weegy: I would think that is available only to the teacher. If you are having trouble understanding the questions, you can ask specific questions here, but it is probably better to speak to your teacher. (More)
Question
Expert Answered
Asked 6/18/2010 8:20:19 AM
0 Answers/Comments
how can i find florida virtual school answers for geometry?
Weegy: search it on google (More)
Question
Expert Answered
Asked 6/18/2010 8:22:31 AM
0 Answers/Comments
18,418,542 questions answered
Popular Conversations
It rained yesterday and is supposed to be sunny today. This is an ...
Weegy: It is an example of B) climate. User: In Hawaii, you can almost always expect 80°F temperatures and daily ...
11/23/2014 3:21:11 AM| 3 Answers
United by common purpose with the majority power residing in the ...
Weegy: United by a common purpose, with the majority of power residing in the states is descriptive of Confederate ...
11/23/2014 12:33:41 AM| 2 Answers
Well, you see, I am accepting the Nobel Prize in literature. a. ...
Weegy: Well, you see, I am accepting the Nobel Prize in literature. The word well is an interjection. User: The ...
11/23/2014 1:40:22 AM| 2 Answers
Minorities and women found employment opportunities mainly a. in ...
Weegy: During World War I minorities and women found employment opportunities mainly in war-related industries. ...
11/23/2014 6:48:35 AM| 2 Answers
In addition to replacing the president if necessary, it's the duty ...
Weegy: In addition to replacing the president if necessary, it's the duty of the vice president to preside over the ...
11/23/2014 7:20:50 AM| 2 Answers
how do I get points
11/23/2014 9:19:57 AM| 2 Answers
Select the product of (5x - 4)(5x + 9). 25x2 - 25x - 36 50x - ...
Weegy: (5x + 1)? User: Select the product of (5x - 4)(5x + 9). a. 25x2 - 25x - 36 b. 50x - 36 c. 25x2 + 25x - ...
11/23/2014 2:08:28 PM| 2 Answers
22n 22 - n n + 22 n - 22
Weegy: N - 8 = 22 represents "the difference between a number and eight is twenty-two". User: Select the expression ...
11/23/2014 3:02:40 PM| 2 Answers
what does the expression 22n means?
11/23/2014 3:05:20 PM| 2 Answers
__________ is an up-front, one-time cost of home ownership. (Points : ...
Weegy: a and b - down payment and closing costs is an up-front, one-time cost of home ownership.
11/23/2014 7:03:06 PM| 2 Answers
Weegy Stuff
S
L
1
L
P
C
1
P
C
1
L
P
C
1
Points 2415 [Total 14126]| Ratings 10| Comments 2315| Invitations 0|Online
S
L
Points 1318 [Total 3604]| Ratings 0| Comments 1318| Invitations 0|Offline
S
L
Points 731 [Total 1252]| Ratings 6| Comments 671| Invitations 0|Offline
S
1
L
1
L
P
P
L
P
Points 719 [Total 14093]| Ratings 0| Comments 719| Invitations 0|Offline
S
Points 548 [Total 580]| Ratings 1| Comments 538| Invitations 0|Online
S
1
L
L
Points 222 [Total 6616]| Ratings 0| Comments 222| Invitations 0|Offline
S
L
Points 151 [Total 1447]| Ratings 3| Comments 121| Invitations 0|Online
S
Points 50 [Total 50]| Ratings 0| Comments 0| Invitations 5|Offline
S
Points 46 [Total 46]| Ratings 3| Comments 6| Invitations 1|Offline
S
Points 40 [Total 40]| Ratings 4| Comments 0| Invitations 0|Offline
Home | Contact | Blog | About | Terms | Privacy | Social | ©2014 Purple Inc.