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Oscar drew a scale drawing of a house. The garage, which is 8 meters long in real life, is 4centimeters long in the drawing. What is the drawing's scale factor?Simplify your answer and write it as a fraction.

User Nolanpro
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1 Answer

1 vote

Answer:

1/200

Step-by-step explanation:

Length of the garage in the drawing = 4 centimeters

Length of the garage in real life = 8 meters

The ratio of the lengths = 4 cm : 8m

Divide both sides by 4


\begin{gathered} \frac{4\operatorname{cm}}{4}\colon(8m)/(4) \\ 1\operatorname{cm}\colon2m \end{gathered}

1 m =100cm

2m= 2 x 100 =200cm

Converting both to the same unit, we have:


\begin{gathered} 1\operatorname{cm}\colon200\operatorname{cm} \\ =(1)/(200) \end{gathered}

The drawing's scale factor in fraction form is 1/200.

User Danny Kopping
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