Question

You want to create a scale model for a building that will be 120feet tall and 40 feet wide. If you make the model 6 feet tall, how wide should it be?

Answer 1

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.

`\frac{\text{Length of the building}}{\text{Length of the model}}=\frac{\text{Width of the building}}{\text{Width of the model}}`

`(120)/(6)=(40)/(x)`

`20=(40)/(x)`

`x=(40)/(20)`

`x=2`

Therefore, the width of the model is 2 feet.