Final answer:
To find actual measurements from a blueprint, multiply the dimensions on the blueprint by the scale factor. For the student's question, the recreation room on the blueprint measures 2 inches by 1.75 inches, and with a scale factor of 1 inch = 12 feet, the actual room dimensions are 24 ft × 21 ft.
Step-by-step explanation:
Understanding Scale Factors
When working with blueprints, understanding scale factor is critical for converting measurements from the drawing to real-life sizes. In the student's question, the scale given is 1 inch = 12 feet. Therefore, the actual dimensions of a recreation room that measures 2 inches by 1.75 inches on the blueprint can be calculated by multiplying these dimensions by the scale factor.
Step 1: Identify the Scale Factor
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- Scale Factor for length: 2 inches * 12 feet/inch = 24 feet
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- Scale Factor for width: 1.75 inches * 12 feet/inch = 21 feet
Step 2: Apply the Scale Factor to Find Actual Dimensions
Using the scale factor, we multiply the dimensions on the blueprint by the factor to get the actual room size:
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- Actual length: 2 inches * 12 feet/inch = 24 feet
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- Actual width: 1.75 inches * 12 feet/inch = 21 feet
Therefore, the correct answer to the student's question is D. 24 ft × 21 ft.