My IXI Leaming Assessment DD. 3 Scale drawings: scale factor word problems KCM [x 1 millimeter \( =2 \) meters. What is the scale factor of the drawing? [ג̇A] Simplify your answer and write it as a fraction. \( \square \) Submit
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To find the scale factor, you need to set up a ratio between the real measurements and the measurements in the drawing. Since 1 millimeter corresponds to 2 meters, you express the scale factor as a fraction: \(\frac{1 \text{ millimeter}}{2 \text{ meters}}\). To work with consistent units, convert 2 meters into millimeters (2 m = 2000 mm), giving a scale factor of \(\frac{1 \text{ mm}}{2000 \text{ mm}}\), which simplifies to \(\frac{1}{2000}\). Scale drawings are a nifty tool used across various professions, from architecture to engineering. By maintaining the scale factor, you ensure that your replicas are accurately proportionate to the real deal! For example, when architects create blueprints, they often use scale drawings to represent large structures on a much smaller canvas, enabling precise planning and visualization without the need for massive models.
