Question

Trapezoid upper A upper B upper C upper D is graphed on a coordinate plane. The x-axis ranges from negative 1 to 6 in increments of 1. The y-axis ranges from negative 1 to 4 in increments of 1.
Use the coordinates to compute the perimeter of the trapezoid. Round each calculation to the nearest tenth.

(1 point)
Responses

13.8 units
13.8 units

14.4 units
14.4 units

12.3 units
12.3 units

16.3 units
16.3 units

Answer 1

To calculate the perimeter of trapezoid ABCD, we need to know the coordinates of its vertices A, B, C, and D. However, since the coordinates are not provided in your question, I will explain the method for calculating the perimeter based on the lengths of the sides using the distance formula.

The distance \(d\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

To find the perimeter \(P\) of the trapezoid, you would sum the lengths of all four sides:

\[
P = AB + BC + CD + DA
\]

1. Calculate the length of each side using the coordinates.
2. Add those lengths together.
3. Round the final result to the nearest tenth.

If you provide the coordinates of the trapezoid's vertices, I can perform the calculations for you and provide the perimeter.