Final answer:
The measurements on the plan for a shed drawn to a 1:10 scale with actual dimensions of 4 feet by 5 feet are 4.8 inches by 6 inches, which corresponds to choice B.
Step-by-step explanation:
To determine the dimensions on the plan for a shed that is drawn to a 1:10 scale, you need to divide the actual measurements by the scale factor. The actual roof dimensions are 4 feet by 5 feet. Since the scale is 1:10, this means that every 1 unit on the plan represents 10 units in reality. Thus, to convert the actual measurements to the plan measurements, you divide each dimension by 10. This gives:
- 4 feet / 10 = 0.4 feet
- 5 feet / 10 = 0.5 feet
To convert feet to inches (since there are 12 inches in a foot), multiply each dimension by 12:
- 0.4 feet × 12 inches/foot = 4.8 inches
- 0.5 feet × 12 inches/foot = 6 inches
Therefore, the measurements on the plan are 4.8 inches by 6 inches, which corresponds to choice B.