1. **State the problem:** We need to find the perimeter and area of a rectangle with vertices at (5, -1), (5, -5), (-3, -5), and (-3, -1). 2. **Recall formulas:** - Perimeter of a rectangle: $$P = 2(\text{length} + \text{width})$$ - Area of a rectangle: $$A = \text{length} \times \text{width}$$ 3. **Find the length and width:** - Length is the distance between points (5, -1) and (-3, -1) along the x-axis: $$\text{length} = |5 - (-3)| = |5 + 3| = 8$$ - Width is the distance between points (5, -1) and (5, -5) along the y-axis: $$\text{width} = |-1 - (-5)| = |-1 + 5| = 4$$ 4. **Calculate the perimeter:** $$P = 2(8 + 4) = 2(12) = 24$$ 5. **Calculate the area:** $$A = 8 \times 4 = 32$$ **Final answers:** - Perimeter: 24 units - Area: 32 square units