Geometry

Question Analysis

The main focus is identifying the shape formed by the four points (a rectangle) using their coordinates and applying the formula for the area of a rectangle .

Key Concept Explanation

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

Step - by - Step Solution

1. Find the length:

Points  and  have the same  - coordinate. The length  is