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Ny IXI. Leaming Assessment Analytic Do. scale drawings: scale factor word problems kcM was 1 inch = 1 foot. What is the drawing's scale factor? with an example or . Watch a video Simplify your answer and write it as a fraction. \( \square \) Submit

Ask by Wells Lawson. in the United States
Mar 14,2025

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The drawing's scale factor is \(\frac{1}{12}\).

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The Deep Dive

When converting real-life dimensions into scale drawings, the scale factor expresses the ratio between the drawing size and the real-life size. For your example where 1 inch corresponds to 1 foot, the scale factor can be calculated by recognizing that 1 foot equals 12 inches. Therefore, the scale factor is 1 inch (drawing) to 12 inches (real-life), which simplifies to the fraction \( \frac{1}{12} \). For a practical situation, let's say you are creating a scale drawing of a room that measures 12 feet by 10 feet. Using your scale factor of \( \frac{1}{12} \), you would convert the real dimensions into the drawing by multiplying by the scale factor, coming out to 1 foot by approximately 0.83 foot in the scale drawing, reflecting how much smaller your presentation will be. This way, you can effectively visualize spaces while keeping related proportions intact!

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