Respuesta :

Answer:

The model is 6 inches tall.

Step-by-step explanation:

Write and solve an equation of ratios:

10 in.         x

--------- = ----------

40 ft.      24 ft.

Cross-multiplication yields:

240 in = 40x, so x = 6 inches.

The model is 6 inches tall.

The scale model is 6 inches.

Important information:

  • A building is 24 feet tall and 40 feet wide.
  • The scale model of this building is 10 inches wide.

Scale model:

Let the scale model is [tex]x[/tex] inches tall.

The height and width of the building and the scale model are proportional.

[tex]\dfrac{x}{10}=\dfrac{24}{40}[/tex]

[tex]x=\dfrac{24}{40}\times 10[/tex]

[tex]x=6[/tex]

Therefore, the scale model is 6 inches.

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