Geometry

Question Analysis

The main focus is identifying the shape formed by the four locations (a rectangle) using their coordinates and applying the formula  to calculate its area.

Key Concept Explanation

The area of a rectangle is , where  is the length and  is the width. In a coordinate plane,  points with the same  - coordinate help find the vertical side length, and points with the same  - coordinate help find the horizontal side length.

Step - by - Step Solution

1. For points  and  with the same  - coordinate, the length