1. **State the problem:** Find the area and perimeter of the rectangle with vertices $(-3, 3)$, $(-3, -7)$, $(4, -7)$, and $(4, 3)$. 2. **Identify the lengths of the sides:** Since the rectangle is aligned with the coordinate axes, the length and width can be found by the differences in the x-coordinates and y-coordinates of the vertices. - Length (horizontal side) = difference in x-coordinates = $4 - (-3) = 4 + 3 = 7$ units. - Width (vertical side) = difference in y-coordinates = $3 - (-7) = 3 + 7 = 10$ units. 3. **Formula for perimeter of a rectangle:** $$P = 2(\text{length} + \text{width})$$ 4. **Calculate the perimeter:** $$P = 2(7 + 10) = 2(17) = 34$$ units. 5. **Formula for area of a rectangle:** $$A = \text{length} \times \text{width}$$ 6. **Calculate the area:** $$A = 7 \times 10 = 70$$ square units. **Final answers:** - Area = 70 square units - Perimeter = 34 units