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Alana drew a scale drawing of an apartment. The broom closet, which is $6$ feet wide in real life, is $3$ inches wide in the drawing. What is the scale of the drawing? $\newline$ $1$ inch : $\_\_\_$ feet

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Scale drawings: word problems

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Q. Alana drew a scale drawing of an apartment. The broom closet, which is

6

feet wide in real life, is

3

inches wide in the drawing. What is the scale of the drawing?

\newline

1

inch :

\_\_\_

feet

Identify Widths: Identify the real-life width and the drawing width of the broom closet. $\newline$ Real-life width of the broom closet = $6$ feet $\newline$ Width of the broom closet in the drawing = $3$ inches $\newline$ We need to find the scale in the form of inches to feet.
Set Up Ratio: Set up the ratio of the drawing width to the real-life width to find the scale. $\newline$ Ratio = (Width of the broom closet in drawing) / (Real-life width of the broom closet) $\newline$ Ratio = $(3 \text{ inches}) / (6 \text{ feet})$
Simplify Ratio: Simplify the ratio to find the scale. $\newline$ Divide $3$ inches by $6$ feet to get the scale per inch. $\newline$ $3$ inches $/$ $6$ feet $=$ $0.5$ inches $/$ $3$ feet $\newline$ Since we want the scale in terms of $1$ inch, we need to divide both sides of the ratio by $0.5$ . $\newline$ $6$ $1$ inches $/$ $6$ $3$ $/$ $6$ $5$ feet $/$ $6$ $3$ $=$ $1$ inch $/$ $6$ feet
Write Scale: Write the scale of the drawing. $\newline$ The scale of the drawing is $1$ inch : $6$ feet.

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