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.
26,495,357 questions answered
Popular Conversations
3a-5=-6a+1
Weegy: 3a - 5 = - 6a + 1 = a = 0.6666666667 or 2/3. Solution: 3a + -5 = -6a + 1; -5 + 3a = -6a + 1; -5 + 3a = 1 + ...
11/19/2017 2:37:56 PM| 3 Answers
Identify the italicized word. Don gave his "teacher" the note. ...
Weegy: Word bank: (Subject. Predicate. Direct Object. Indirect Object. Predicate Nominative. Predicate Adjective) 1. ...
11/14/2017 7:53:22 PM| 2 Answers
3.85 x 10^-3
Weegy: (3.85 x 10) - 3 User: Give the number of significant figures in this number: 40.00 Weegy: number of ...
11/15/2017 9:18:26 AM| 2 Answers
Paul had three ways to use his allowance money: spend, save, or ...
Weegy: Paul had three ways to use his allowance money: spend, save, or donate. He decided to donate his money to ...
11/16/2017 10:10:42 AM| 2 Answers
Simplify the given equation. 17x - 6 + 3x - 5 = x + 11 + 4x
Weegy: 6 - (3x + 10) + 4(2 - x) = 15 User: (x^2 + 17x + 63) ÷ (x + 8) =
11/16/2017 1:37:20 PM| 2 Answers
What is the new deal?
Weegy: The Second New Deal is the term used by commentators at the time and historians ever since to characterize the ...
11/16/2017 1:53:34 PM| 2 Answers
Solve for x. 7(3 - x) = 8(4 - 2x)
11/17/2017 5:41:10 AM| 2 Answers
Weegy Stuff
S
L
P
Points 186 [Total 311] Ratings 11 Comments 76 Invitations 0 Offline
S
P
L
P
Points 25 [Total 155] Ratings 0 Comments 25 Invitations 0 Offline
S
P
P
L
P
P
Points 20 [Total 1658] Ratings 0 Comments 20 Invitations 0 Offline
S
Points 4 [Total 4] Ratings 0 Comments 4 Invitations 0 Offline
S
Points 2 [Total 2] Ratings 0 Comments 2 Invitations 0 Offline
S
Points 1 [Total 1] Ratings 0 Comments 1 Invitations 0 Offline
S
Points 1 [Total 1] Ratings 0 Comments 1 Invitations 0 Offline
S
Points 1 [Total 1] Ratings 0 Comments 1 Invitations 0 Offline
S
Points 1 [Total 1] Ratings 0 Comments 1 Invitations 0 Offline
S
Points 1 [Total 1] Ratings 0 Comments 1 Invitations 0 Offline
* Excludes moderators and previous
winners (Include)
Home | Contact | Blog | About | Terms | Privacy | © Purple Inc.