To compute the perimeter of a trapezoid given its coordinates, you first need to find the lengths of all four sides (two bases and two legs). The perimeter is the sum of these lengths. However, since you haven't provided the actual coordinates, I will guide you through the process to find the perimeter.
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Identify the Coordinates: List the coordinates of the trapezoid's vertices. Let's say you have vertices A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4).
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Calculate Side Lengths:
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Use the distance formula to calculate the length of each side: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
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Calculate each side:
- \( AB \) (between points A and B)
- \( BC \) (between points B and C)
- \( CD \) (between points C and D)
- \( DA \) (between points D and A)
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Sum the Lengths: \[ \text{Perimeter} = AB + BC + CD + DA \]
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Round the result: After calculating the perimeter, round it to the nearest tenth.
Once you compute the lengths and sum them up, you can then compare your final result to the options you've provided (14.4 units, 16.3 units, 12.3 units, and 13.8 units) to find the correct answer.
If you can provide the coordinates of the trapezoid, I would be happy to assist you with the specific calculations.