Certainly! Let’s solve the problem step-by-step.
1. Understand the Scale: The scale provided is 1/4 inch = 1 foot. This means that for every 1/4 inch on the plan, it represents 1 foot in actual dimensions.
2. Measurement on Plan: The measurement given on the plan is 2.5 inches. We need to convert this measurement to the actual dimension.
3. Calculation:
- First, convert the scale to a more usable form:
[tex]\[\text{Scaling factor} = \frac{1 \, \text{foot}}{1/4 \, \text{inch}} = 4 \, \text{feet per inch}\][/tex]
- This means that each inch on the plan represents 4 feet in actual dimensions.
4. Apply the Scaling Factor:
- To find the actual dimension, multiply the measurement on the plan by the scaling factor:
[tex]\[\text{Actual dimension} = 2.5 \, \text{inches} \times 4 \, \{\text{feet per inch}\} = 10 \, \text{feet}\][/tex]
Thus, a 2.5 inch measurement on the plan indicates an actual dimension of 10 feet.
Answer: The correct option is:
O b. 10 ft
