Answer:
C) 169 square units
Explanation:
The formula for the area of a square is A = a² where a is one side of the square.
To find the length of one side of the square, use the distance formula for two points. I will use the points (-8, 3) and (4, 8).
d = √((x₂ - x₁)² + (y₂ - y₁)²)
d = √((4 - (-8)² + (8 - 3)²)
d = √((12)² + (5)²)
d = √(144 + 25)
d = √(169)
d = 13
Now since all of the sides of the square equal that value (13), plug it into the area formula.
Area = a²
Area = 13²
Area = 169.