What is the total perimeter of the parallelogram? The answer should be a combination of regular numbers and square root.

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
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What is the total perimeter of the parallelogram? The answer should be a combination of regular numbers and square root.

The image shows a coordinate plane graph with a parallelogram plotted on it. The coordinate plane is a standard Cartesian plane with:

- The x-axis labeled from 0 to 8 in unit increments.
- The y-axis labeled from 0 to 8 in unit increments.
- Both axes intersect at the origin (0,0).

The parallelogram is depicted in purple and has four vertices labeled as X, Y, Z, and W positioned as follows:

- Point X is at coordinates (7, 8).
- Point Y is at coordinates (1, 1).
- Point Z is at coordinates (2, 6).
- Point W is at coordinates (6, 3).

The sides of the parallelogram are positioned such that each point connects to its neighbors in a slanted manner.

#### Explanation of the Graph:
- The x-axis represents the horizontal component while the y-axis represents the vertical component of the graph.
- The parallelogram is depicted in the first quadrant of the graph.
- The graph can be used to visualize the properties and calculations involving parallelograms, such as finding the area, understanding the relationship between vertices, or verifying the parallel sides and equal lengths opposite sides in the parallelogram.
Transcribed Image Text:The image shows a coordinate plane graph with a parallelogram plotted on it. The coordinate plane is a standard Cartesian plane with: - The x-axis labeled from 0 to 8 in unit increments. - The y-axis labeled from 0 to 8 in unit increments. - Both axes intersect at the origin (0,0). The parallelogram is depicted in purple and has four vertices labeled as X, Y, Z, and W positioned as follows: - Point X is at coordinates (7, 8). - Point Y is at coordinates (1, 1). - Point Z is at coordinates (2, 6). - Point W is at coordinates (6, 3). The sides of the parallelogram are positioned such that each point connects to its neighbors in a slanted manner. #### Explanation of the Graph: - The x-axis represents the horizontal component while the y-axis represents the vertical component of the graph. - The parallelogram is depicted in the first quadrant of the graph. - The graph can be used to visualize the properties and calculations involving parallelograms, such as finding the area, understanding the relationship between vertices, or verifying the parallel sides and equal lengths opposite sides in the parallelogram.
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