### Problem: Geometry - Perimeter of a Parallelogram #### Diagram Description: The diagram shows a coordinate grid with a parallelogram labeled as PQRS. The coordinates for the vertices are: - \( P(-2, 5) \) - \( Q(2, 1) \) - \( R(1, -2) \) - \( S(-3, 2) \) A parallelogram is drawn connecting these points: - \( P \) to \( Q \) - \( Q \) to \( R \) - \( R \) to \( S \) - \( S \) to \( P \) #### Problem Statement: In the diagram, \( SR = 4\sqrt{2} \) and \( QR = \sqrt{10} \). What is the perimeter of parallelogram PQRS? #### Multiple Choice Options: - \( \sqrt{10} \) units - \( 8\sqrt{2} + 2\sqrt{10} \) units - \( 16\sqrt{2} \) units - \( 8\sqrt{2} + 8 \) units #### Solution Steps: 1. Identify the lengths of the sides of the parallelogram. 2. Use the given information \( SR = 4\sqrt{2} \) and \( QR = \sqrt{10} \). 3. Calculate the perimeter of the parallelogram using the formula \( P = 2(a + b) \), where \( a \) and \( b \) are the lengths of adjacent sides. #### Answer: [Choose the correct option to complete the solution.] #### Website Navigational Buttons: - **Mark this and return** - **Save and Exit** - **Next** - **Submit** This transcription provides a clear and detailed explanation of the educational content and helps students understand the context and requirements of the problem.
### Problem: Geometry - Perimeter of a Parallelogram #### Diagram Description: The diagram shows a coordinate grid with a parallelogram labeled as PQRS. The coordinates for the vertices are: - \( P(-2, 5) \) - \( Q(2, 1) \) - \( R(1, -2) \) - \( S(-3, 2) \) A parallelogram is drawn connecting these points: - \( P \) to \( Q \) - \( Q \) to \( R \) - \( R \) to \( S \) - \( S \) to \( P \) #### Problem Statement: In the diagram, \( SR = 4\sqrt{2} \) and \( QR = \sqrt{10} \). What is the perimeter of parallelogram PQRS? #### Multiple Choice Options: - \( \sqrt{10} \) units - \( 8\sqrt{2} + 2\sqrt{10} \) units - \( 16\sqrt{2} \) units - \( 8\sqrt{2} + 8 \) units #### Solution Steps: 1. Identify the lengths of the sides of the parallelogram. 2. Use the given information \( SR = 4\sqrt{2} \) and \( QR = \sqrt{10} \). 3. Calculate the perimeter of the parallelogram using the formula \( P = 2(a + b) \), where \( a \) and \( b \) are the lengths of adjacent sides. #### Answer: [Choose the correct option to complete the solution.] #### Website Navigational Buttons: - **Mark this and return** - **Save and Exit** - **Next** - **Submit** This transcription provides a clear and detailed explanation of the educational content and helps students understand the context and requirements of the problem.
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
![### Problem: Geometry - Perimeter of a Parallelogram
#### Diagram Description:
The diagram shows a coordinate grid with a parallelogram labeled as PQRS. The coordinates for the vertices are:
- \( P(-2, 5) \)
- \( Q(2, 1) \)
- \( R(1, -2) \)
- \( S(-3, 2) \)
A parallelogram is drawn connecting these points:
- \( P \) to \( Q \)
- \( Q \) to \( R \)
- \( R \) to \( S \)
- \( S \) to \( P \)
#### Problem Statement:
In the diagram, \( SR = 4\sqrt{2} \) and \( QR = \sqrt{10} \). What is the perimeter of parallelogram PQRS?
#### Multiple Choice Options:
- \( \sqrt{10} \) units
- \( 8\sqrt{2} + 2\sqrt{10} \) units
- \( 16\sqrt{2} \) units
- \( 8\sqrt{2} + 8 \) units
#### Solution Steps:
1. Identify the lengths of the sides of the parallelogram.
2. Use the given information \( SR = 4\sqrt{2} \) and \( QR = \sqrt{10} \).
3. Calculate the perimeter of the parallelogram using the formula \( P = 2(a + b) \), where \( a \) and \( b \) are the lengths of adjacent sides.
#### Answer:
[Choose the correct option to complete the solution.]
#### Website Navigational Buttons:
- **Mark this and return**
- **Save and Exit**
- **Next**
- **Submit**
This transcription provides a clear and detailed explanation of the educational content and helps students understand the context and requirements of the problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1fefc4e4-0fc1-4d3a-92e0-1dd9cbc9acda%2F5f47ad91-088d-45b0-b15f-166ee4eeb615%2F39yimek.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem: Geometry - Perimeter of a Parallelogram
#### Diagram Description:
The diagram shows a coordinate grid with a parallelogram labeled as PQRS. The coordinates for the vertices are:
- \( P(-2, 5) \)
- \( Q(2, 1) \)
- \( R(1, -2) \)
- \( S(-3, 2) \)
A parallelogram is drawn connecting these points:
- \( P \) to \( Q \)
- \( Q \) to \( R \)
- \( R \) to \( S \)
- \( S \) to \( P \)
#### Problem Statement:
In the diagram, \( SR = 4\sqrt{2} \) and \( QR = \sqrt{10} \). What is the perimeter of parallelogram PQRS?
#### Multiple Choice Options:
- \( \sqrt{10} \) units
- \( 8\sqrt{2} + 2\sqrt{10} \) units
- \( 16\sqrt{2} \) units
- \( 8\sqrt{2} + 8 \) units
#### Solution Steps:
1. Identify the lengths of the sides of the parallelogram.
2. Use the given information \( SR = 4\sqrt{2} \) and \( QR = \sqrt{10} \).
3. Calculate the perimeter of the parallelogram using the formula \( P = 2(a + b) \), where \( a \) and \( b \) are the lengths of adjacent sides.
#### Answer:
[Choose the correct option to complete the solution.]
#### Website Navigational Buttons:
- **Mark this and return**
- **Save and Exit**
- **Next**
- **Submit**
This transcription provides a clear and detailed explanation of the educational content and helps students understand the context and requirements of the problem.
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