Geometry

Question Analysis

The main focus is using the coordinates of the rectangle's vertices to determine the length and width, then applying the formula  (where  is length and  is width) to find the area.

Key Concept Explanation

The area of a rectangle is calculated by . In a coordinate plane,  when two points share the same  - coordinate, the difference in their  - coordinates gives the length of one side. When two points share the same  - coordinate, the difference in their  - coordinates gives the length of the other side.

Step - by - Step Solution

1. For points  and  with the same  - coordinate, the width  is .

2. For points

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