Final answer:
The student's question is about converting blueprint measurements to actual dimensions using a scale factor. Given the scale of 2 inches to 1 foot, a window measuring 12 inches on the blueprint equates to an actual length of 6 feet. Use consistent units and correctly set up proportions to achieve accurate conversions between scales.
Step-by-step explanation:
The question involves using scale factors to convert measurements on a blueprint to actual dimensions in real life. Given the scale of 2 inches: 1 foot, we can set up a proportion to find the missing measurements. Here's the complete scale conversion for the given table:
- Blueprint Length (in.): 2 -> Actual Length (ft): 1
- Blueprint Length (in.): 4 -> Actual Length (ft): 2
- Blueprint Length (in.): 6 -> Actual Length (ft): 3
- Blueprint Length (in.): 8 -> Actual Length (ft): 4
- Blueprint Length (in.): 10 -> Actual Length (ft): 5
- Blueprint Length (in.): 12 -> Actual Length (ft): 6
For the window mentioned in the question, which measures 12 inches on the blueprint, the actual size would be 6 feet because every 2 inches represent 1 foot.
When creating a to-scale diagram like this, it's important to ensure that the units are consistent and that the proportions are set up correctly. For example, a length scale in the form of inches/feet=1/20 would be used to represent 20 actual feet as 1 inch on the diagram. To represent a real-life dimension that measures 500 feet, a line would be drawn that is 25 inches long, using the same scale factor.