Square PQRS has vertices P(-6, -4), Q(-1, -1), R(2, -6), and S(-3, -9). What is the area of the square?
Options
A
22 square units
B
20 square units
C
24 square units
D
34 square units
Answer & Analysis
Answer
D
Analysis
Question Analysis
The main focus is using the distance formula (derived from the Pythagorean theorem) to find the side length of the square from its vertex coordinates and then applying the formula to calculate the area.
Key Concept Explanation
The area of a square is , where is the side length. The distance between two points and in a coordinate plane is , which is based on the Pythagorean theorem.
Step - by - Step Solution
1. Calculate the distance between two adjacent vertices, say and
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