![crybaby222psyc](/avatars/4215.jpg)
crybaby222psyc
06.07.2021 •
Mathematics
6. Calculate the area of the octagon in the
figure below.
Solved
Show answers
More tips
- H Health and Medicine How to Get Pregnant Faster?...
- S Style and Beauty Lamination of Hair: How it Works and What it is?...
- C Computers and Internet Best Applications for Your iPad: Review of the Best Candidates for Installation...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
- H Health and Medicine How to perform artificial respiration?...
- H Health and Medicine 10 Tips for Avoiding Vitamin Deficiency...
- F Food and Cooking How to Properly Cook Buckwheat?...
Answers on questions: Mathematics
- M Mathematics Divide Rs.560 among a,b and c in such a way that a and b are in 2:3 while b and c are in 4:5. plz answer correctly....
- B Biology A female fish is homozygous dominant for both fancy fins (F) and shiny scales (S). She is crossed with a male who is heterozygous for both traits. What are the genotypes of these...
- E English WHO GOT THIS TOO??! WHY IT DOESN T LET ME DO ANYTHING? Exam Mode 07:45-13:00. To keep exams fair, no new questions or answers can be added during this time....
- M Mathematics What is 774÷37 and alsi whqyllat is 37÷774...
Ответ:
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)Formulas:
Area of rectangle with lengthArea of triangles:
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}](/tpl/images/1389/9075/5a39b.png)
The area of all four is then
units squared.
Area of rectangles:
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
units squared, and the both of them have a total area of
units squared.
The last rectangle has a width of 7 and a height of 3 for a total area of
units squared.
Therefore, the area of the entire octagon is![8+12+21=\boxed{41\text{ [units squared]}}](/tpl/images/1389/9075/55ba1.png)
Ответ:
7/10
hope this !