Geometry

Question Analysis

The main focus is using the coordinates of three vertices of a rectangle to find the fourth vertex, calculate the side lengths with the distance formula, and then determine the perimeter.

Key Concept Explanation

In a rectangle, opposite sides are equal. The distance formula between two points and is . The perimeter of a rectangle is .

Step-by-Step Solution

1. Find the fourth vertex : Since it's a rectangle, the - coordinate of is the same as that of and the - coordinate of is the same as that of , so .

2. Calculate the length of : Using and ,

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