### 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
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