Final answer:
The 1/15 scale model of a building with actual dimensions of 140 feet by 100 feet would have dimensions of approximately 9.33 feet for the length and 6.67 feet for the width.
Step-by-step explanation:
If a building is 105 feet long and 75 feet wide, and a model is built at a scale of 1/15 of the actual size, the dimensions of the model can be determined by dividing the actual dimensions by 15. However, we are given that the actual dimensions are 140 feet by 100 feet, so we should use this information instead.
To find the length of the model: 140 feet / 15 = 9.33 feet (approximately).
To find the width of the model: 100 feet / 15 = 6.67 feet (approximately).
This gives us the dimensions for the model's length and width based on the corrected actual building dimensions.