To find the perimeter and area of the square, we need to determine the side length first using the coordinates of the vertices.
1. Find the side length:
- Distance formula: The distance between two points (x1, y1) and (x2, y2) is √((x2 - x1)^2 + (y2 - y1)^2).
- Calculate the distances AB, BC, CD, and DA to find the side length.
2. Perimeter of a square:
- Perimeter = 4 * side length (since all sides of a square are equal).
- Substitute the side length into the formula to find the perimeter.
3. Area of a square:
- Area = side length * side length (or side length^2).
- Square the side length to find the area.
After determining the side length, calculate the perimeter by multiplying the side length by 4, and find the area by squaring the side length. Make sure to double-check your calculations to ensure accuracy.
