Let's first calculate the distance between the vertices. This is the square so all distances are equal. The distance formula is derived from the Pythagorean theorem: d = √((x2 - x1)² + (y2 - y1)²)
Let use points K(-6,2) and I(2, -4): x1 = -6 x2 = 2 y1 = 2 y2 = -4
d = √((2 - (-6))² + (-4 - 2)²) d = √(8² + 6²) d = √(64 + 36) d = √100 d = 10 units
Now, the perimeter of the square is: P = 4d = 4 * 10 = 40 units
