Geometry

Question Analysis

The main focus is to find the lengths of each side of the quadrilateral using the distance formula (for non - horizontal/vertical sides) and simple coordinate differences (for horizontal and vertical sides), and then sum them up to get the perimeter.

Key Concept Explanation

For two points and , the distance formula is . For horizontal sides, the length is the absolute difference in - coordinates (), and for vertical sides,  the length is the absolute difference in - coordinates (). The perimeter of a quadrilateral is .

Step - by - Step Solution

1. Find the length of :

, (horizontal side). Length .

2. Find the length of :

, (vertical side). Length

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