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KATRIN_1 [288]
3 years ago
14

Area of a Polygon In this unit, you learned about finding the area of triangles and rectangles using coordinates. But there are

many more shapes than just triangles and rectangles, and these shapes often can be relatively complex. You can still find properties of such polygons by dividing them into an arrangement of simpler shapes—polygons that you’re familiar with. When a two-dimensional figure is composed of smaller figures, its area is equal to the sum of the areas of the smaller figures. When finding the area of a polygon, it is helpful to know that any polygon can be partitioned into a series of triangles. You will use GeoGebra to partition a polygon into a set of triangles. Go to partitioning a polygon, and complete each step below. Part A Draw line segments to partition the given polygons into triangles. There is more than one correct answer. Take a screenshot of your construction, save it, and insert the image in the space below. Part B Think back to Task 1 of these Lesson Activities. Finding the area of a polygon using only coordinates can be tedious. Fortunately, you do have access to additional tools that help you find the area of a polygon while following the same basic methods. This is especially helpful when polygons are irregular or have many sides. Next you will use GeoGebra to find the area of a polygon divided into a set of triangles. Go to area of a polygon, and complete each step below: Partition the polygon into triangles by drawing line segments between vertices. For each triangle, draw an altitude to represent the height of the triangle. Place a point at the intersection of the height and the base of each triangle. Use the tools in GeoGebra to find the length of the base and the height of each triangle. (Because the values displayed by GeoGebra are rounded, your result will be approximate.) Compute the area of each triangle, and record the results below. Show your work. Add the areas of the triangles to determine the area of the original polygon, and note your answer below. When you’re through, take a screenshot of your construction, save it, and insert the image below your answers. Part C In part B, you used a combination of GeoGebra tools and manual calculations to find the approximate area of the original polygon. Now try using the more advanced area tools in GeoGebra to verify your answer in part B. Which method did you choose? Do your results in parts B and C match?

Mathematics
1 answer:
sweet [91]3 years ago
4 0

Answer:

part a and b only i was actually looking for c

Step-by-step explanation:

for part b

Area of DEF= 1/2× base × height = 1/2× 2 × 1 = 1

Area of FGD= 1/2× base × height = 1/2× 2.24 × 1.34 =1.50  

Area of GBD= 1/2× base × height = 1/2× 2 × 1 = 1

Area of ABG= 1/2× base × height = 1/2× 4.12 × 0.49 =1.01

Area of BCD= 1/2× base × height = 1/2× 1.41 × 2.12 =1.49

The approximate area of the original polygon is 6 square units

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Anvisha [2.4K]
Currently 100 students can eat for 20 days, so we need to find the number of days 125 students can eat.

Originally:
100 students eat for 20 days

New:
125 students eat for x days. Multiply original number of students by original number of days which will give the total amount of students per day. Then divide the total amount of students per day by the new number of students to find the new number of days.

x= (100 students * 20 days)/ (100+25)
x= (100 * 20)/ 125
x= 2000/125
x= 16 days

ANSWER: 125 students can eat for 16 days.

Hope this helps! :)
4 0
3 years ago
Find the midpoint of CD <br> C = (10,-1) and D = (-6,3)
MrRa [10]

Answer: (4/2, 2/2)

Step-by-step explanation:

so the formula is (x1 +x2 divided by 2, y1 + y2 divided by 2)

8 0
3 years ago
What is the solution of 5x-1 &gt;O?<br> O x5-8 or x&gt;<br> © xx-8 or x<br> o -85 x &lt; 1/3<br> -8
ElenaW [278]

Answer:

x >1/5

Step-by-step explanation:

5x-1 >0

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4 0
2 years ago
Read 2 more answers
Help..idk how to do algabra. i didn't pay attention..
kotegsom [21]
Start with 3 one-by-one squares. This represents the '3' in 4t+3

Then draw 4 rectangles that are vertical or horizontal. Make sure the rectangle is longer than it is wide, or vice versa. The longer side is t units long (t is just a placeholder for a number). The shorter side is 1 unit long

The longer thin rectangles have an area of 1*t = t square units. Four of them represent t+t+t+t = 4*t = 4t
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This is one possible way to draw it out. See the attached drawing. 

4 0
3 years ago
PLZ HELP I NEED BY 2:00 PM ATY LEAST!!! WILL GIVE BRAINLYIST<br> Find the value of in each case:
Pie

Answer:

23°

Step-by-step explanation:

Step 1:

< GEC + < ECG + < CGE = Δ ECG    Sum of a Δ

Step 2:

< IGF = < GCE    Corresponding ∠ 's

Step 3:

14° + 180° - 4x + 78° = 180°   Substitution

Step 4:

272° - 4x = 180°     Add / Algebra

Step 5:

- 4x = - 92   Subtract 272° on both sides

Step 6:

- 92 ÷ - 4   Divide

Answer:

x = 23°

Hope This Helps :)

7 0
3 years ago
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