What is the area of the parallelogram? ### Graph of a Parallelogram on the Cartesian PlaneThe given image depicts a parallelogram plotted on a Cartesian coordinate plane. The parallelogram is outlined with a bold, purple line, and its vertices are labeled as follows:- **X**: (7, 8)- **Y**: (1, 1)- **W**: (7, 3)- **Z**: (1, 6)### Explanation of the Graph1. **Axes and Grid**: - The horizontal axis represents the x-axis, while the vertical axis represents the y-axis. - The graph is divided into a grid with each square representing one unit both in the x-direction and y-direction.2. **Vertices of the Parallelogram**: - Vertex **X** is located at (7, 8) on the grid. - Vertex **Y** is located at (1, 1) on the grid. - Vertex **W** is located at (7, 3) on the grid. - Vertex **Z** is located at (1, 6) on the grid.3. **Shape and Structure**: - The figure formed is a parallelogram as opposite sides are parallel and of equal length.This graph is useful for illustrating basic concepts in geometry, such as the properties of parallelograms and their representation on a coordinate plane.

we have to find the area of the parallelogram from the given figure . We know that the area of the…

Answered: 8. X 7 5 4 3 W 2 Y 0 1 2 3 4 5 6 7 8

Math

Geometry

8. X 7 5 4 3 W 2 Y 0 1 2 3 4 5 6 7 8

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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Question

What is the area of the parallelogram?

### Graph of a Parallelogram on the Cartesian Plane

The given image depicts a parallelogram plotted on a Cartesian coordinate plane. The parallelogram is outlined with a bold, purple line, and its vertices are labeled as follows:

- **X**: (7, 8)
- **Y**: (1, 1)
- **W**: (7, 3)
- **Z**: (1, 6)

### Explanation of the Graph

1. **Axes and Grid**:
- The horizontal axis represents the x-axis, while the vertical axis represents the y-axis.
- The graph is divided into a grid with each square representing one unit both in the x-direction and y-direction.

2. **Vertices of the Parallelogram**:
- Vertex **X** is located at (7, 8) on the grid.
- Vertex **Y** is located at (1, 1) on the grid.
- Vertex **W** is located at (7, 3) on the grid.
- Vertex **Z** is located at (1, 6) on the grid.

3. **Shape and Structure**:
- The figure formed is a parallelogram as opposite sides are parallel and of equal length.

This graph is useful for illustrating basic concepts in geometry, such as the properties of parallelograms and their representation on a coordinate plane.

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