To find the area of a rectangle, we need to know the coordinates of its vertices or at least the lengths of its sides. However, since no specific coordinates or dimensions are provided in your question, I will explain how to generally calculate the area of a rectangle.
The area \( A \) of a rectangle can be calculated using the formula:
\[ A = \text{length} \times \text{width} \]
If we had specific coordinates, we could calculate the length and width by deriving the distances between the respective points. Here’s a quick explanation of how it could be done if we had coordinates:
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Identify the coordinates of the four vertices of the rectangle, typically denoted as \( (x_1, y_1) \), \( (x_2, y_2) \), \( (x_3, y_3) \), and \( (x_4, y_4) \).
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Calculate the distance between two opposite vertices to find the length and width:
- Length \( (l) = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)
- Width \( (w) = \sqrt{(x_3 - x_2)^2 + (y_3 - y_2)^2} \)
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Once you have \( l \) and \( w \), substitute those values into the area formula \( A = l \times w \).
Since I don't have any specific coordinates or dimensions, I can’t calculate the area. However, based on your options, you have several potential answers for the area, which could be determined from some dimensions.
To help you better, please provide either the coordinates of the rectangle's vertices or the lengths of the sides.