Geometry

Question Analysis

The main focus is identifying the figure as a rectangle and using the formula (where is the length and is the width) to calculate its area based on the coordinates of its vertices.

Key Concept Explanation

The area formula for a rectangle is . In a coordinate plane, the length and width can be found by calculating the differences in the - coordinates and - coordinates of the relevant vertices.

Step - by - Step Solution

1. Determine the length:

Points and have the same - coordinate. The length (distance between and ) is .

2. Determine the width:

Points

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