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Jennifer made a scale drawing of a house. The scale of the drawing was $1$ inch $= 1$ foot. What is the scale factor of the drawing? $\newline$ Simplify your answer and write it as a fraction. $\newline$ $\_\_$

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Scale drawings: scale factor word problems

Full solution

Q. Jennifer made a scale drawing of a house. The scale of the drawing was

1

inch

= 1

foot. What is the scale factor of the drawing?

\newline

Simplify your answer and write it as a fraction.

\newline

\_\_

Identify Scale: Step $1$ : Identify the scale given in the problem. $\newline$ Scale given: $1$ inch = $1$ foot. $\newline$ We need to express this scale as a fraction where the numerator is the drawing measurement and the denominator is the real measurement. $\newline$ Scale factor = $(1 \text{ inch}) / (1 \text{ foot})$
Convert Units: Step $2$ : Convert the real measurement from feet to inches to match the units. $\newline$ $1$ foot $= 12$ inches. $\newline$ Now, rewrite the scale factor using the same units. $\newline$ Scale factor $= (1$ inch $) / (12$ inches))
Simplify Fraction: Step \(3: Simplify the fraction to find the scale factor. Scale factor = $\frac{1}{12}$ This is the simplified form of the scale factor.

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