1. **Problem:** Find the area and perimeter of a rectangle with length 7 ft and width 5 ft. 2. **Formulas:** - Perimeter of rectangle: $$P = 2(\text{length} + \text{width})$$ - Area of rectangle: $$A = \text{length} \times \text{width}$$ 3. **Calculations:** - Perimeter: $$P = 2(7 + 5) = 2 \times 12 = 24$$ ft - Area: $$A = 7 \times 5 = 35$$ ft\textsuperscript{2} 4. **Explanation:** The perimeter is the total distance around the rectangle, so we add length and width and multiply by 2. The area is the amount of space inside the rectangle, found by multiplying length by width. **Final answers:** - Perimeter = 24 ft - Area = 35 ft\textsuperscript{2}