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.

Respuesta :

Answer:

1/200

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

[tex]\begin{gathered} \frac{4\operatorname{cm}}{4}\colon\frac{8m}{4} \\ 1\operatorname{cm}\colon2m \end{gathered}[/tex]

1 m =100cm

2m= 2 x 100 =200cm

Converting both to the same unit, we have:

[tex]\begin{gathered} 1\operatorname{cm}\colon200\operatorname{cm} \\ =\frac{1}{200} \end{gathered}[/tex]

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