An quadrilateral PQRS has vertices P(4, 17), Q(8, 14), R(12, 17) and S(8, 20). Calculate the perimeter of quadrilateral PQRS?
Options
A
23 units
B
25 units
C
29 units
D
20 units
Answer & Analysis
Answer
D
Analysis
Question Analysis
The main focus is using the distance formula to find the lengths of each side of quadrilateral and then summing them to get the perimeter.
Key Concept Explanation
The distance formula between two points and is . For horizontal/vertical sides, length can be found by taking the absolute difference of corresponding coordinates. The perimeter of a quadrilateral .
Step - by - Step Solution
1. Length of :
For and , .
2. Length of :
For and ,
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