What is the area of the regular hexagon ABCDEF? Explain your reasoning.

What Is The Area Of The Regular Hexagon ABCDEF? Explain Your Reasoning.

Answers

Answer 1

Answer:

2340 units²

Step-by-step explanation:

The easiest way to solve for the area of the hexagon is to find the area of the rectangle and subtracting the area of the triangles from it.

First, find the area of the rectangle:

A(rectangle) = (15 + 30 + 15)(26 + 26)

A(rectangle) = (60)(52)

A(rectangle) = 3120

Next, find the area of the 4 triangles:

A(triangles) = 1/2(15)(26) · 4

A(triangles) = 195 · 4

A(triangles) = 780

Finally, subtract the two areas to find the area of the hexagon:

A(hexagon) = 3120 - 780

A(hexagon) = 2340

Answer 2

Based on the information given the area of hexagon is 2340.

Area of hexagon:

First step is to find the area of the rectangle:

Area of rectangle= (15 + 30 + 15)(26 + 26)

Area of rectangle=60×52

Area of rectangle= 3120

Second step is to find the area of the 4  triangles:

Area of rectangle =[1/2(15)(26)]×4

Area of rectangle= 195 × 4

Area of rectangle= 780

Third step is to find the area of hexagon:

Area of hexagon= 3120 - 780

Area of hexagon=2340

Inconclusion  the area of hexagon is 2340.

Learn more about area of hexagon here:https://brainly.com/question/3812956


Related Questions

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2 pts
(9x + 16)°
(5x - 14)
The value of
is
The measure of the exterior angle is
degrees

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Answer:

Value is 15 and measure is 151

A spinner is divided into 10 congruent sections. Each section is labeled with a number as shown. The spinner will be spun one time. What is the probability that the arrow will land in a section that is labeled with a number that is a multiple of 2? 1 A U 9 un 6 3 B 1 10 2 09 4 1 1 / 2 UN​

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Answer:

b

Step-by-step explanation:

In three days, Karen ate 1/3 of a large bag of chips during
her lunch break. How many
days would it take her to
finish the bag of chips?

Answers

Answer:

Karen asked for the manager

Step-by-step explanation:

Karen asked for the maneger because that is what karens do. you’re lucky that you are not black, becuase she would falsely accuse you of murder after slightly bumping into her on accident.

what will be the new coordinate of vertex b if the triangle is dilated with a center at the origin by a scale factor of 1/3

Answers

Answer:

6 , 3

Step-by-step explanation:

your welcome

The new coordinate of vertex B if the triangle is dilated with a center at the origin by a scale factor of 1/3 is (1,2) and this can be determined by using the given data.

Given :

Dilation Factor = 1/3Points - A(-2,2), B(3,6), and C(1,-2)

After the dilation of 1/3 the coordinate of the triangle becomes:

[tex]\rm A(-2,2) \to A'(-2\times \dfrac{1}{3},2\times \dfrac{1}{3}) = A'\left(\dfrac{-2}{3},\dfrac{2}{3}\right)[/tex]

[tex]\rm B(3,6) \to B'(3\times \dfrac{1}{3},6\times \dfrac{1}{3}) = B'\left(1,2)[/tex]

[tex]\rm C(1,-2) \to C'(1\times \dfrac{1}{3},-2\times \dfrac{1}{3}) = C'\left(\dfrac{1}{3},\dfrac{-2}{3}\right)[/tex]

The new coordinate of vertex B if the triangle is dilated with a center at the origin by a scale factor of 1/3 is (1,2).

For more information, refer to the link given below:

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I need this pls helpp

Answers

Answer:

m∠7 = 63 degrees

m∠8 = 117 degrees

m∠9 = 63 degrees

Step-by-step explanation:

When two lines intersect at a point, then they formed 2 pairs of vertically opposite angles and 4 pairs of linear angles

The vertically opposite angles are equal in measuresThe linear angles have a sum of 180°

In the given figure

∵ There are two lines intersected at a point

∴ The angle of measure 117° and ∠8 are vertically opposite angles

∠7 and ∠9 are vertically opposite angles

∴ The angle of measure 117° and ∠7 are linear angles

∵ The vertically opposite angles are equal in measures

∴ The angle of measure 117° and ∠8 are equal in measures

m∠8 = 117°

∵ The sum of the measures of the linear angles is 180°

∴ m∠7 + 117° = 180°

→ Subtract 118 from both sides

∵ m∠7 + 117 - 117 = 180 - 117

m∠7 = 63°

∵ m∠7 = m∠9 ⇒ proved up

m∠9 = 63°

HELPPPPP MEEEEEE, I WILL MAKE BRAINLYLST IF U GET IT RIGHT AND RESPOND QUICK

Answers

Answer:

Its C. or option 3

Step-by-step explanation:

Patrycja goes shopping in a supermarket.
Patrycja buys 12 bread rolls.
The bread rolls costs £4.44 altogether.
How much does one bread roll cost?

Answers

Answer:£0.37

Step-by-step explanation:

£4.44/12=£0.37

Please help! I need to do well on this!

Answers

Answer:

The answer is a

Step-by-step explanation:

i need help please!1

Answers

Answer:

for the first picture, she cleans 30 windows

the second picture is 52/100 :)

Answer:

It's B for the first one.

For the second one, it is C

Step-by-step explanation:

30 * 0.3 = 9

So 30% of 30 is 9. She did 9 windows.

0.52 = 52/100

It's 52/100 because 0.52 = 52%. 52% then equals 52/100.

52/100 = 13/25

So the answer is 13/25

I need to solve for x

Answers

Answer:

x = -12

Step-by-step explanation:

m∡QRP = 180 - (80 + 43) = 57°

-6x + 51 + 57 = 180

-6x + 108 = 180

-6x = 72

x = -12

What’s the meaning of pi and how to find the cylinder of a cylinder. ( JUST DO NUMBER 1)

Answers

Wouldn’t it be 23? 5x2 because you have to account for the top and bottom. And than the sides 6x2. 5x2=10 6x2=12. 10+12=22? I believe this is what you’re asking.

Which of the following numbers is NOT a solution
of the inequality 3x – 5>_4x – 3 ?

Answers

Answer:

A)-1

Step-by-step explanation:

3x-5≥4x-3

3x-4x≥-3+5

-x≥2

x≤-2

(-infinity,-2]

-1 x

-2,-3,-5 ✓

I need help ASAP!! Currently failing math ✌️

Answers

A straight line is 180 degrees so 180-122= 58 degrees
X= 58 degrees

The table shows the balance of an account each year.

Years Balance
0 $40
1 $42
2 $44
3 $46
What is the interest rate of the account?

Answers

Answer:

+2 each year. 40+(2+y), y being years.

help me out :)) 2(5x-1)+3x !! simplify !!

Answers

13x-2. 2•5x=10x 2•-1=-2. 10x-2+3x=13x-2

Answer:

13x-2

lol :)

hope i could helped:)

Kerry walks 3 miles each day. How far will she walk in 7 days?

Answers

Answer:

21 so yea         give it a like bc why not lolz

Are these triangles similar?

Answers

Answer:

not similar

Step-by-step explanation:

One less than the square of a number

Answers

Answer:

the number would be the same

Step-by-step explanation:

would be the same number

Help please...........

Answers

Answer: A

Step-by-step explanation:

HELP HELP PLEASE ASAP

Answers

The second in I’m pretty sure

Need answer to it solve it with the elimincation method with addition

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Answer: The answer is x = .5

Answer:

(x,y)+(-1,-1)

Step-by-step explanation:

help plz it's not dark blue

Answers

Answer:

YELLOW

Step-by-step explanation:

MY TEACHER MADE ME DO THIS LOL

Melissa and Brian are at the base of a mountain. Melissa hikes to
a location 27 meters above sea level. Brian hikes to a
location 21 meters below sea level.
a. Write an integer to represent each hiker's location with respect
to sea level.
b. What is the difference of the hikers' altitudes?
c. Can the integers be subtracted in either order to find the difference? Explain.

Answers

67 meters because if you use the triangle congruent method with the altitude at 65 degrees you should get the right answer

During the hockey season, Pete scored goals on 15% of the shots he took. If he scored 75 goals, how many
shots did he take?

Answers

pete took 200 shots

A car travels 2 5/8
miles in 3 1/2
minutes at a constant speed. Which equation represents the distance, d, that the car travels in m minutes?
Ad = 0.75m
B. d=14 m
C. d = 3.5m
D. d = 2.625m

Answers

Answer:

A. d = 0.75m.

Step-by-step explanation:

If, for 3 1/2 minutes (3.5 minutes) the car travels 2 5/8 miles (2.625 miles),

Then in m minutes the car will travel d miles

d = (2.625*m)÷ 3.5

d = 0.75m

Which is option A

Malndkkdldlñdñsjakso

Write the number 5.1 x 10^4 in standard form.

Answers

51,000 I’m pretty sure

The number  [tex]5.1 * 10^{4}[/tex] in standard form is 51,000.

Given data:

The number is represented as A.

Now, the value of A is expressed as:

[tex]A = 5.1 * 10^{4}[/tex]

From the laws of exponents:

A = 5.1 * 10000

On simplifying the expression:

A = 51,000

Therefore, the value of A is 51,000.

Hence, the standard form is 51,000.

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These box plots show the basketball scores for two teams.

Which statement is the most appropriate comparison of the spreads?

Answers

The answer is d I think

Answer: The interquartile range (1QR) for the Bulldogs, 20, is less than the IQR for the Wolverines , 30.

Step-by-step explanation:

A salesperson earns a commission of a certain percentage on the original price of any items he helps you buy. The salesperson helped you select a new jacket that was originally 90$. He eared 5.76$ commission on this sale. What percentage of the original jacket price did the salesperson earn

Answers

Answer:

5.18%

Step-by-step explanation:

5.76 x 100 = 576

576 ÷ 100 = 5.184

5.184 = 5.18%

Pls help and show workings

Answers

Answer:

22

Step-by-step explanation:

you would take 14 plus 8 and that would give you your answer. I've done this before. I'm positive its 22

A
B
C
D


I NEED HELP ASAP

Answers

Answer:

D

Step-by-step explanation:

ΔCBA ≅ Δ BCD

∠A = ∠D = 90°

BC = CB                  {hypotenuse and reflexive property}

BA = CD

D is the answer I swear.
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