1. **State the problem:** Find the perimeter and area of the polygon with vertices J(1,2), K(7,2), L(7,8), and M(1,8). 2. **Identify the shape:** The polygon is a rectangle because opposite sides are parallel and equal in length. 3. **Calculate side lengths:** - Side JK: distance between (1,2) and (7,2) is $$|7-1|=6$$ units. - Side KL: distance between (7,2) and (7,8) is $$|8-2|=6$$ units. - Side LM: distance between (7,8) and (1,8) is $$|7-1|=6$$ units. - Side MJ: distance between (1,8) and (1,2) is $$|8-2|=6$$ units. 4. **Calculate perimeter:** Perimeter $$= 2 \times (length + width) = 2 \times (6 + 6) = 24$$ units. 5. **Calculate area:** Area $$= length \times width = 6 \times 6 = 36$$ square units. **Final answers:** - Perimeter: 24 units - Area: 36 square units