Question

In a coordinate plane, plot the polygon with vertices: A (-6, 1), B (4.1), C (4, 2 points

-8), and D (-6, -8). The AREA of the polygon is square units. (Round
your answer to the nearest tenth, if necessary)

Answer 1

To plot the given polygon and find its area, follow these step-by-step instructions.

Step-by-step explanation:

To plot the polygon with vertices A(-6, 1), B(4,1), C(4, -8), and D(-6, -8) on a coordinate plane, you will need to plot each point and connect them with straight lines. Here are the step-by-step instructions:

1. Start by plotting point A at (-6, 1)
2. Plot point B at (4, 1)
3. Plot point C at (4, -8)
4. Plot point D at (-6, -8)
5. Connect point A to B, B to C, C to D, and D back to A to form the polygon

To find the area of the polygon, you can use the Shoelace formula or divide the polygon into triangles and calculate their areas individually. Let's calculate the area using the Shoelace formula:

1. Write down the x-coordinates of the vertices in a clockwise direction: -6, 4, 4, -6
2. Write down the y-coordinates of the vertices in the same order: 1, 1, -8, -8
3. Multiply each x-coordinate with the y-coordinate of the next vertex in the sequence, and subtract the product of the y-coordinate with the x-coordinate of the next vertex
4. Add up all the results and take the absolute value
5. Round the result to the nearest tenth if necessary

By using the Shoelace formula, the area of the polygon is __ square units.