Use the image to answer the question.

A polygon is graphed on a coordinate plane. The x-axis ranges from negative 10 to10 in increments of 1. The y-axis ranges from negative 10 to 10 in increments of 1.

Use the coordinates to compute the perimeter of the graphed polygon. Round to the nearest whole number.

(1 point)
Responses

19 units
19 units

21 units
21 units

36 units
36 units

31 units

1 answer

To compute the perimeter of the polygon, we would need the coordinates of each vertex of the polygon. Since I can't view images or graphs directly, I can't provide a specific calculation based on the visual data.

However, here are the steps to compute the perimeter if you have the coordinates:

  1. List the coordinates: Write down the coordinates of each vertex of the polygon in order (clockwise or counterclockwise).

  2. Calculate the distances between consecutive vertices: Use the distance formula to find the distance between each pair of consecutive vertices.

    The distance formula between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is:
    \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

  3. Sum the distances: Add all the distances together to get the perimeter of the polygon.

  4. Round to the nearest whole number: Finally, round the total perimeter to the nearest whole number.

If you can provide the coordinates of the polygon, I would be able to help you compute the perimeter accurately. Otherwise, based on your problem, it looks like you need to use the above steps to find the answer yourself.