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Do. 3 scale drawings: scale factor word problems kou What is the scale factor of the drawing? Simpling Max messment Simplify your answer and write it as a fraction. Submit

Ask by Adkins Joseph. in the United States
Mar 14,2025

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The scale factor of the drawing is \(\frac{1}{4}\).

Solución

1. Identify the measurement on the drawing (let this be \(D\)) and the corresponding actual measurement (let this be \(A\)). 2. The scale factor \(k\) is given by the ratio \[ k = \frac{D}{A}. \] 3. For example, if a drawing shows a length of \(5\) units that represents an actual length of \(20\) units, then \[ k = \frac{5}{20}. \] 4. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor. In this case, \[ \frac{5}{20} = \frac{5\div5}{20\div5} = \frac{1}{4}. \] Thus, the scale factor of the drawing is \(\frac{1}{4}\).

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Bonus Knowledge

Scale drawings are like magic windows into the world of dimensions! When you create a scale drawing, you choose a scale factor that helps you represent real-life objects in a more manageable size. For example, if a building is 200 feet long and you scale it down to 2 feet on your drawing, your scale factor is 1:100 (every 1 unit on your drawing represents 100 units in real life). When you're working through scale factor word problems, it’s essential to take your time and double-check your measurements. Common mistakes include mismatching units (like feet vs. inches) and forgetting to simplify your fractions. Always convert everything to the same units before calculating the scale factor, and keep an eye on simplifying those fractions; it's like giving your answer a nice little tidy-up!

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