1. **Problem Statement:** Find the perimeter and area of the rectangle with vertices A(-1, 1), B(3, 1), C(3, -4), and D(-1, -4). 2. **Formula for Perimeter of a Rectangle:** $$P = 2(l + w)$$ where $l$ is the length and $w$ is the width. 3. **Formula for Area of a Rectangle:** $$A = l \times w$$ 4. **Find the length and width:** - Length $l$ is the distance between points A and B (or C and D): $$l = |x_B - x_A| = |3 - (-1)| = 4$$ - Width $w$ is the distance between points A and D (or B and C): $$w = |y_A - y_D| = |1 - (-4)| = 5$$ 5. **Calculate the perimeter:** $$P = 2(l + w) = 2(4 + 5) = 2 \times 9 = 18$$ 6. **Calculate the area:** $$A = l \times w = 4 \times 5 = 20$$ **Final answers:** - Perimeter = 18 - Area = 20