1. **State the problem:** We have a blueprint with a scale factor of 1 in : 35 in, and a wall on the blueprint is 3 inches long. We want to know if the actual wall is long enough to fit a sofa that is 6 feet long plus 12 inches of space on both sides. 2. **Understand the scale factor:** The scale means 1 inch on the blueprint represents 35 inches in real life. 3. **Calculate the actual length of the wall:** $$\text{Actual wall length} = 3 \text{ in} \times 35 = 105 \text{ in}$$ 4. **Convert sofa length to inches:** Since 1 foot = 12 inches, $$6 \text{ ft} = 6 \times 12 = 72 \text{ in}$$ 5. **Calculate total space needed for sofa plus clearance:** The client wants 12 inches of space on both sides, so total space needed is: $$72 + 12 + 12 = 96 \text{ in}$$ 6. **Compare the actual wall length with the required space:** $$105 \text{ in} > 96 \text{ in}$$ 7. **Conclusion:** The wall is long enough to fit the sofa with the desired space on both sides. **Final answer:** Yes, the wall is long enough because the actual wall length is 105 inches, which is greater than the 96 inches needed for the sofa and clearance.