Respuesta :

Given:

Length of the building  = 120 feet

Width of the building = 40 feet

Length of the model = 6 feet

To find:

Width of the model.

Solution:

The scale model similar to the original figure and the corresponding sides of the similar figures are proportional.

Let x be the width of the building.

[tex]\dfrac{\text{Length of the building}}{\text{Length of the model}}=\dfrac{\text{Width of the building}}{\text{Width of the model}}[/tex]

[tex]\dfrac{120}{6}=\dfrac{40}{x}[/tex]

[tex]20=\dfrac{40}{x}[/tex]

[tex]x=\dfrac{40}{20}[/tex]

[tex]x=2[/tex]

Therefore, the width of the model is 2 feet.