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
17,968,342 questions answered
Popular Conversations
How is the infinitive phrase used in the sentence? Morning is the ...
Weegy: To go to college is my greatest ambition. The infinitive phrase "to go to college" is used as noun as subject. ...
10/24/2014 11:04:05 AM| 5 Answers
Brandon's huge collection of paper cranes come from his origami ...
Weegy: The correct sentence is: Brandon's huge collection of paper cranes comes from his origami hobby. User: ...
10/24/2014 7:48:30 AM| 3 Answers
William H. Crawford represented which ...
10/24/2014 7:25:41 AM| 2 Answers
Is the sentence compound, or is it simple with a compound verb? You ...
Weegy: Verb is a word (part of speech) that in syntax conveys an action (bring, read, walk, run, learn), an occurrence ...
10/24/2014 7:51:29 AM| 2 Answers
Which words are the first and last words of the participial phrase in ...
Weegy: Strapped into the roller coaster, I screamed in fear through the whole ride. The first and last words of the ...
10/24/2014 10:27:22 AM| 2 Answers
Weegy Stuff
S
L
1
1
1
1
L
1
L
Points 2605 [Total 14980]| Ratings 0| Comments 2605| Invitations 0|Offline
S
L
1
L
P
C
1
P
C
1
L
Points 1628 [Total 11109]| Ratings 4| Comments 1588| Invitations 0|Offline
S
1
L
1
L
P
P
L
Points 896 [Total 13125]| Ratings 0| Comments 896| Invitations 0|Offline
S
L
Points 605 [Total 2004]| Ratings 0| Comments 605| Invitations 0|Offline
S
1
L
L
Points 505 [Total 6299]| Ratings 3| Comments 475| Invitations 0|Offline
S
Points 482 [Total 482]| Ratings 0| Comments 452| Invitations 3|Offline
S
Points 454 [Total 455]| Ratings 6| Comments 394| Invitations 0|Offline
S
Points 277 [Total 277]| Ratings 1| Comments 267| Invitations 0|Offline
S
P
C
L
P
L
1
Points 48 [Total 6282]| Ratings 0| Comments 48| Invitations 0|Offline
S
L
Points 34 [Total 3572]| Ratings 2| Comments 14| Invitations 0|Offline
Home | Contact | Blog | About | Terms | Privacy | Social | ©2014 Purple Inc.