To calculate the area of a rectangle in the coordinate plane, you need the coordinates of its vertices (corners). The area \( A \) of a rectangle can be found using the formula:
\[ A = \text{length} \times \text{width} \]
Where:
- Length is the horizontal distance between the left and right edges of the rectangle.
- Width is the vertical distance between the top and bottom edges of the rectangle.
Without the image to provide the coordinates, I'll explain the general steps you would take:
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Identify the Coordinates: Determine the coordinates of the rectangle's vertices (corners). Assume the coordinates are (x1, y1), (x1, y2), (x2, y1), and (x2, y2).
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Calculate Length and Width:
- Length = |x2 - x1|
- Width = |y2 - y1|
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Substitute into the Area Formula: \[ A = \text{Length} \times \text{Width} \]
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Choose the Correct Area Response: Compare the computed area with the provided responses to select the correct one.
If you have the specific coordinates from the image, I could help you with the exact calculations. Otherwise, you can follow these steps with the specific coordinates to find the area.