Geometry

Question Analysis

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

Key Concept Explanation

The area of a rectangle is given by . In a coordinate plane, we can find the length and width by calculating the differences in the  - coordinates and  - coordinates of the vertices.

Step - by - Step Solution

1. Find the length:

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

2. Find the width:

Points