Distance in the Coordinate Plane Quick Check 4 of 54 of 5 Items Question Use the image to answer the question. Use the coordinates to compute the perimeter of the trapezoid. Round each calculation to the nearest tenth. (1 point) Responses 16.3 units 16.3 units 12.3 units 12.3 units 13.8 units 13.8 units 14.4 units 14.4 units Skip to navigation page 17 of 17 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

Answer 1

To compute the perimeter of a trapezoid given its vertices in the coordinate plane, you can follow these steps:

1. Identify the coordinates of the vertices. Let’s hypothetically assume the trapezoid has vertices at points \( A(x_1, y_1) \), \( B(x_2, y_2) \), \( C(x_3, y_3) \), and \( D(x_4, y_4) \).

2. Use the distance formula to calculate the lengths of the sides: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

   You will need to apply this formula for each side of the trapezoid:

   • Length \( AB \)
   • Length \( BC \)
   • Length \( CD \)
   • Length \( DA \)

3. Add the lengths together to find the perimeter: \[ P = AB + BC + CD + DA \]

4. Round your answer to the nearest tenth as required.

However, since I do not have the specific coordinates of the trapezoid from the image or further details, I can't provide the exact numerical answer. Please provide the coordinates of the trapezoid's vertices, or refer to the image for the correct calculations, if you have it.