Geometry

Question Analysis:
This question involves finding the perimeter of a quadrilateral using coordinates.
The main focus is applying the distance formula correctly.

Key Concept Explanation:
Perimeter = sum of all side lengths using the distance formula:
√[(x₂ − x₁)² + (y₂ − y₁)²].

Step-by-Step Solution:
PQ length: √[(5 − 1)²+(1 − 1)²] = √[16 + 0] = 4
QR length: √[(6 − 5)²+(4 − 1)²] = √[1 + 9] = √10
RS length: √[(6 − 2)²+(4 − 4)²] = √[16 + 0] = 4
SP length: √[(2 − 1)²+(4 − 1)²] = √[1 + 9...