In this exercise we find the area of a plane figure. Draw the parallelogram with vertices A(3, 5), B(7, 5), C(5, 8), and D(9, 8) on a coordina

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Finding the Area of a Plane Figure

#### Objective
In this exercise, we will calculate the area of a plane figure.

#### Task
Draw the parallelogram with vertices at the following coordinates on a coordinate plane:
- \( A(3, 5) \)
- \( B(7, 5) \)
- \( C(5, 8) \)
- \( D(9, 8) \)

#### Instructions

1. **Identifying Vertices**: 
    - Point \( A \) is located at \( (3, 5) \).
    - Point \( B \) is located at \( (7, 5) \).
    - Point \( C \) is located at \( (5, 8) \).
    - Point \( D \) is located at \( (9, 8) \).

2. **Plotting the Points**: 
    - Use the coordinate plane provided in the graphing tool to plot each of the four points. 

3. **Drawing the Parallelogram**:
    - Connect the points \( A \), \( B \), \( C \), and \( D \) in sequence to form a parallelogram.

#### Graphing Tool Explanation
- The coordinate plane is fitted with a grid where each unit represents one step in the x or y direction.
- The plane includes positive and negative values along both axes.
- Available tools:
  - **Arrow/Pen Tool**: Select this to draw straight lines or plot points.
  - **Eraser/Delete Tool**: Allows you to erase any errors.
  - **Move Tool**: Lets you shift the graph around for better visibility.
- On the right-hand side, the "Graph Layers" window assists in organizing different elements of your graph.
- Below, there are additional tools such as the fill tool and various options for graph customization.

This graphing exercise will enable you to visually understand the properties of parallelograms within a coordinate plane and assist in further computations related to their area. Make sure to utilize the tools provided effectively for an accurate representation.

##### WebAssign Graphing Tool Label
- The bottom of the tool indicates it's provided by WebAssign, emphasizing its utility for educational purposes.
Transcribed Image Text:### Finding the Area of a Plane Figure #### Objective In this exercise, we will calculate the area of a plane figure. #### Task Draw the parallelogram with vertices at the following coordinates on a coordinate plane: - \( A(3, 5) \) - \( B(7, 5) \) - \( C(5, 8) \) - \( D(9, 8) \) #### Instructions 1. **Identifying Vertices**: - Point \( A \) is located at \( (3, 5) \). - Point \( B \) is located at \( (7, 5) \). - Point \( C \) is located at \( (5, 8) \). - Point \( D \) is located at \( (9, 8) \). 2. **Plotting the Points**: - Use the coordinate plane provided in the graphing tool to plot each of the four points. 3. **Drawing the Parallelogram**: - Connect the points \( A \), \( B \), \( C \), and \( D \) in sequence to form a parallelogram. #### Graphing Tool Explanation - The coordinate plane is fitted with a grid where each unit represents one step in the x or y direction. - The plane includes positive and negative values along both axes. - Available tools: - **Arrow/Pen Tool**: Select this to draw straight lines or plot points. - **Eraser/Delete Tool**: Allows you to erase any errors. - **Move Tool**: Lets you shift the graph around for better visibility. - On the right-hand side, the "Graph Layers" window assists in organizing different elements of your graph. - Below, there are additional tools such as the fill tool and various options for graph customization. This graphing exercise will enable you to visually understand the properties of parallelograms within a coordinate plane and assist in further computations related to their area. Make sure to utilize the tools provided effectively for an accurate representation. ##### WebAssign Graphing Tool Label - The bottom of the tool indicates it's provided by WebAssign, emphasizing its utility for educational purposes.
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