Distance Traveled. A grand tour of four cities begins at city A and makes successive stops at cities B, C, and D before returning to city A. If the cities are located as shown in the figure, find the total distance covered on the tour. y (miles) C- 1000,2000) +2000 £1500 B(500, 1200) +1000, +500 D(- 1000,0) -2000 A (0,0)! 1000 -1000 x (miles)
Distance Traveled. A grand tour of four cities begins at city A and makes successive stops at cities B, C, and D before returning to city A. If the cities are located as shown in the figure, find the total distance covered on the tour. y (miles) C- 1000,2000) +2000 £1500 B(500, 1200) +1000, +500 D(- 1000,0) -2000 A (0,0)! 1000 -1000 x (miles)
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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![**Distance Traveled.** A grand tour of four cities begins at city A and makes successive stops at cities B, C, and D before returning to city A. If the cities are located as shown in the figure, find the total distance covered on the tour.
### Explanation of the Diagram
- **Coordinate System**: The graph is plotted on a coordinate plane with the x-axis and y-axis representing the distance in miles.
- **City Locations**:
- **City A** is located at the origin (0, 0).
- **City B** is at (500, 1200).
- **City C** is at (-1000, 2000).
- **City D** is at (-1000, 0).
- **Route**:
- The path starts at City A, moves to City B, then to City C, proceeds to City D, and finally returns to City A.
- **Arrows**: Blue arrows indicate the direction of travel between the cities.
The coordinates provided will help in calculating the distances between each pair of successive cities to find the total distance covered on the tour.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5018b380-448e-4214-adf4-74ec1b10342e%2F948c1aba-b19f-498b-8d95-9138ed7cd073%2Fxqsvnq_processed.png&w=3840&q=75)
Transcribed Image Text:**Distance Traveled.** A grand tour of four cities begins at city A and makes successive stops at cities B, C, and D before returning to city A. If the cities are located as shown in the figure, find the total distance covered on the tour.
### Explanation of the Diagram
- **Coordinate System**: The graph is plotted on a coordinate plane with the x-axis and y-axis representing the distance in miles.
- **City Locations**:
- **City A** is located at the origin (0, 0).
- **City B** is at (500, 1200).
- **City C** is at (-1000, 2000).
- **City D** is at (-1000, 0).
- **Route**:
- The path starts at City A, moves to City B, then to City C, proceeds to City D, and finally returns to City A.
- **Arrows**: Blue arrows indicate the direction of travel between the cities.
The coordinates provided will help in calculating the distances between each pair of successive cities to find the total distance covered on the tour.
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