Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
I Need help im confused
![**Mathematics Problems and Solutions**
---
### Problem 18
#### Given:
- Work: [Solution steps to be shown here]
- Length of each leg: [Answer to be filled here] in
### Problem 19
A kite has diagonals 6.2 and 8 ft. What is the area of the kite?
#### Work:
[Solution steps to be shown here]
#### Area: [Answer to be filled here] ft²
### Problem 20
What is the area of a regular octagon (8 sides) with apothem 5 inches and a side of 3 inches?
#### Work:
[Solution steps to be shown here]
#### Area: [Answer to be filled here] in²
---
**Explanation:**
- **Problem 18** requires the calculation of the length of each leg given specific information (not provided in the image) and the work steps leading to the solution should be shown under "Work".
- **Problem 19** involves determining the area of a kite using the given lengths of its diagonals. The area of a kite can be found using the formula:
\[
\text{Area of Kite} = \frac{1}{2} \times d_1 \times d_2
\]
where \( d_1 \) and \( d_2 \) are the lengths of the diagonals.
- **Problem 20** involves finding the area of a regular octagon given the lengths of the apothem and one side. The area of a regular polygon can be found using the formula:
\[
\text{Area} = \frac{1}{2} \times \text{Perimeter} \times \text{Apothem}
\]
where the perimeter of the octagon can be calculated as \( 8 \times \text{side length} \).
The placeholders "[Solution steps to be shown here]" indicate where students should write the process they used to reach the solution, promoting step-by-step problem-solving and understanding.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2f7ec59-fa10-41c8-b515-177e0c568bb4%2Fcb3758ae-b995-4db7-8dcc-39d77f80ecd7%2Fauvoc7h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Mathematics Problems and Solutions**
---
### Problem 18
#### Given:
- Work: [Solution steps to be shown here]
- Length of each leg: [Answer to be filled here] in
### Problem 19
A kite has diagonals 6.2 and 8 ft. What is the area of the kite?
#### Work:
[Solution steps to be shown here]
#### Area: [Answer to be filled here] ft²
### Problem 20
What is the area of a regular octagon (8 sides) with apothem 5 inches and a side of 3 inches?
#### Work:
[Solution steps to be shown here]
#### Area: [Answer to be filled here] in²
---
**Explanation:**
- **Problem 18** requires the calculation of the length of each leg given specific information (not provided in the image) and the work steps leading to the solution should be shown under "Work".
- **Problem 19** involves determining the area of a kite using the given lengths of its diagonals. The area of a kite can be found using the formula:
\[
\text{Area of Kite} = \frac{1}{2} \times d_1 \times d_2
\]
where \( d_1 \) and \( d_2 \) are the lengths of the diagonals.
- **Problem 20** involves finding the area of a regular octagon given the lengths of the apothem and one side. The area of a regular polygon can be found using the formula:
\[
\text{Area} = \frac{1}{2} \times \text{Perimeter} \times \text{Apothem}
\]
where the perimeter of the octagon can be calculated as \( 8 \times \text{side length} \).
The placeholders "[Solution steps to be shown here]" indicate where students should write the process they used to reach the solution, promoting step-by-step problem-solving and understanding.
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