A scale model of a building is
5 inches wide by 7 inches long. If the
scale is 1 in.:15 ft, how long is the
building?
A 35 ft
B 75 ft
C 105 ft
D 180 ft



Answer :

To determine the actual length of the building based on the given scale model, follow these steps:

1. Identify the dimensions of the scale model:
- The scale model is 5 inches wide by 7 inches long.

2. Understand the scale factor:
- The scale factor given is 1 inch : 15 feet. This means that each inch on the model represents 15 feet in the real world.

3. Determine the actual length of the building:
- The model length is 7 inches. To find the actual length of the building, we need to multiply the length of the model by the scale factor.
- Calculation: [tex]\( 7 \text{ inches} \times 15 \text{ feet per inch} \)[/tex]

4. Perform the multiplication:
- [tex]\( 7 \times 15 = 105 \)[/tex]

5. Conclusion:
- The actual length of the building is 105 feet.

Therefore, the correct answer is:
C) 105 ft