Final answer:
To convert 84 feet on the actual building to the model size, we establish a proportion based on the scale (12 feet to 5 inches) and cross-multiply to solve for the unknown. After solving, we find that 84 feet on the building corresponds to 35 inches on the model.
option a is the correct
Step-by-step explanation:
To solve the problem of determining how many inches on the model represent 84 feet on the building, we start by setting up a proportion using the scale given, which is 12 feet to 5 inches. This proportion helps us calculate the equivalent inches on the model for the actual length in feet.
First, we write the scale as a ratio: 12 feet to 5 inches. Next, we set up a proportion with the actual measurement we want to convert, which is 84 feet.
Scale ratio: 12 feet / 5 inches = 84 feet / x inches.
Now, we cross-multiply to solve for x:
- (12 feet) * x inches = (5 inches) * (84 feet)
- 12x = 420
- x = 420 / 12
- x = 35 inches
So, 84 feet on the actual building corresponds to 35 inches on the model. Therefore, the correct answer is A. 35 inches.