To compute the perimeter of a parallelogram using the coordinates of its vertices, you will first need to determine the length of the sides. A parallelogram has two pairs of opposite sides that are equal in length.
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Identify the coordinates of the vertices of the parallelogram. Let's assume the vertices are \( A(x_1, y_1) \), \( B(x_2, y_2) \), \( C(x_3, y_3) \), and \( D(x_4, y_4) \).
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Calculate the length of one side using the distance formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] This will give you the length of side \( AB \).
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Calculate the length of the adjacent side (for example, \( AD \)) using the same distance formula.
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Determine the perimeter of the parallelogram: \[ \text{Perimeter} = 2 \times (\text{Length of } AB + \text{Length of } AD) \]
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Choose the correct answer from the provided options based on your calculations.
If you provide the specific coordinates of the vertices of the parallelogram, I can go through the calculations in detail to help you find the perimeter and the correct answer.
1 answer