1. **State the problem:** We have an L-shaped building drawn to scale where 1 cm on the drawing represents 75 m in reality. The sides of the building on the drawing are 7 cm, 6 cm, 11 cm, and 2 cm. We need to find the perimeter of the actual building in kilometers. 2. **Understand the scale and perimeter:** The perimeter on the drawing is the sum of all the outer sides. The actual perimeter is the drawing perimeter multiplied by the scale factor (75 m per cm). 3. **Calculate the perimeter on the drawing:** $$\text{Perimeter}_{\text{drawing}} = 7 + 6 + 11 + 2 = 26 \text{ cm}$$ 4. **Convert the perimeter to meters:** $$\text{Perimeter}_{\text{actual}} = 26 \times 75 = 1950 \text{ m}$$ 5. **Convert meters to kilometers:** $$1950 \text{ m} = \frac{1950}{1000} = 1.95 \text{ km}$$ 6. **Final answer:** The perimeter of the actual building is **1.95 km**.