1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
FinnZ [79.3K]
3 years ago
14

6. Calculate the area of the octagon in the figure below.

Mathematics
1 answer:
Kryger [21]3 years ago
4 0

Answer:

41\text{ [units squared]}

Step-by-step explanation:

The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.

The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:

  • 4 triangles (corners)
  • 3 rectangles (one in the middle, two on top after you remove triangles)

<u>Formulas</u>:

  • Area of rectangle with length l and width w: A=lw
  • Area of triangle with base b and height h: A=\frac{1}{2}bh

<u>Area of triangles</u>:

All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.

Thus, the total area of one is A=\frac{1}{2}\cdot 2\cdot 2=2\text{ square units}

The area of all four is then 2\cdot 4=8 units squared.

<u>Area of rectangles</u>:

The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of 3\cdot 2=6 units squared, and the both of them have a total area of 6\cdot 2=12 units squared.

The last rectangle has a width of 7 and a height of 3 for a total area of 7\cdot 3=21 units squared.

Therefore, the area of the entire octagon is 8+12+21=\boxed{41\text{ [units squared]}}

You might be interested in
Hurry please It’s timed
Cloud [144]

Answer: could possibly be the fifth one and could also be the third

Step-by-step explanation: I’m not positive though

7 0
2 years ago
Read 2 more answers
2, 3, 5, 9, 17...
BARSIC [14]

Answer:

Step-by-step explanation:

i'm sure the answer is C

8 0
3 years ago
Read 2 more answers
3( x + 4y + 6) - 2(x + 8y + 3).​
ser-zykov [4K]

Answer:

x-4y+12

Step-by-step explanation:

4 0
3 years ago
Alejandra was working on an animal report for school. She worked on it for 4 hours in a week. How many hours did she work on the
Mandarinka [93]

Answer: 0.57 hours each day or 34.28 minutes each day.

Step-by-step explanation:

1. You know that:

-Alejandra worked on the animal report for school for 4 hours in a week.

- A week has seven days.

2. Therefore, to calculate the number of hours she worked on the project each day (which you can call x), you can divide the number of hours  worked on in a week by 7 days.

3. Therefore, you obtain the following result:

x=\frac{4hours}{7day}\\x=0.57\ hours/day

Multiply the result by 60 to obtain the time in minutes, then:

x=34.28\ minutes

3 0
3 years ago
Evaluate the following expression: 082
Sauron [17]
This for points.





Nanskw
7 0
2 years ago
Other questions:
  • The sum of the digits of a two-digit number is 14. When the digits are reversed, the new numbers is 36 more than the original nu
    13·1 answer
  • It is 170 miles from Bruce’s house to the city where his brother lives. On his last trip to visit his brother, he drove for 2 ho
    12·2 answers
  • Multi step equation that equals 10
    9·1 answer
  • What is the solution to the equation below? Round your answer to two decimal places. log5 x=2.1
    14·1 answer
  • Please someone help me on this!
    11·1 answer
  • What is the radius of a circle with a volume of 12348 inches cubed
    7·1 answer
  • -x+y=1<br> -6x+3y=-12<br> Solve
    8·1 answer
  • What is the value of x? Hiking trails oak trail 125 degrees​
    11·1 answer
  • Find the Volume of the Cylinder
    15·1 answer
  • Given the conversion factors 12 in/1 ft and 3.28 ft/1 m, which line segment is longer?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!