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Edna drew a scale drawing of a city. The scale of the drawing was $1$ inch $= 1$ yard. What is the drawing's scale factor? $\newline$ Simplify your answer and write it as a fraction. $\newline$ $\_\_\_\_\_$

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Scale drawings: scale factor word problems

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Q. Edna drew a scale drawing of a city. The scale of the drawing was

1

inch

= 1

yard. What is the drawing's scale factor?

\newline

Simplify your answer and write it as a fraction.

\newline

\_\_\_\_\_

Identify Scale Given: Step $1$ : Identify the scale given in the problem. $\newline$ Scale given: $1$ inch = $1$ yard. $\newline$ We need to express this scale as a fraction to find the scale factor. $\newline$ Scale factor = (length in the drawing) / (corresponding length in reality) $\newline$ Scale factor = $(1$ inch) / $(1$ yard)
Convert to Inches: Step $2$ : Convert the real-world measurement from yards to inches. $\newline$ $1$ yard $= 36$ inches. $\newline$ Now, rewrite the scale factor using the same units. $\newline$ Scale factor $= (1$ inch $) / (36$ inches))
Simplify Fraction: Step \(3: Simplify the fraction to find the scale factor. $\newline$ Scale factor = $\frac{1}{36}$ $\newline$ This is the simplified scale factor of the drawing.

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