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Isabelle measured a swimming pool and made a scale drawing. The scale she used was 7millimeters=1meter7\,\text{millimeters} = 1\,\text{meter}. What is the drawing's scale factor?\newlineSimplify your answer and write it as a fraction.\newline\_\_\_\_\_

Full solution

Q. Isabelle measured a swimming pool and made a scale drawing. The scale she used was 7millimeters=1meter7\,\text{millimeters} = 1\,\text{meter}. What is the drawing's scale factor?\newlineSimplify your answer and write it as a fraction.\newline\_\_\_\_\_
  1. Identify Scale: Step 11: Identify the scale given in the problem.\newlineIsabelle used a scale of 77 millimeters == 11 meter for her drawing.\newlineWe need to find the scale factor as a fraction.\newlineScale factor == (length in the drawing) / (corresponding length in reality)\newlineScale factor == (77 mm) / (11 m)
  2. Convert Units: Step 22: Convert meters to millimeters to have consistent units.\newline11 meter =1000= 1000 millimeters.\newlineNow, recalculate the scale factor using the same units.\newlineScale factor =(7mm)/(1000mm)= (7 \, \text{mm}) / (1000 \, \text{mm})
  3. Simplify Fraction: Step 33: Simplify the fraction to find the scale factor. Scale factor = 71000\frac{7}{1000} This is the simplest form of the fraction.

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