Question

A scale model of a building is 2 inches tall. If the building is 24 feet tall, find the scale of the model. a. 1in: 20ft c. 2 in: 25ft b. 1ft: 50in d. 1 in: 12ft  .

Answer 1

d. 1 in: 12ft

Explanation:

Hi there! The scale of a model is the ratio of the length in a model to the length on the real thing. Then, in this case, the scale of the model is (2 inches)/(24 feet) = 1 inch/12 feet or 1 inch: 12 feet.

Answer 2

Option d. 1 in: 12 ft.

Explanation:

A scale model of building is 2 inches tall. If the building is 24 feet tall then we have to find the scale of the model.

Since scale of the model is represented by the ratio of size of scale model and size of original building

`Scale factor=\frac{\text{Height of scale}}{\text{Height of building}}`

=
`(2)/(24)`

=
`(1)/(12)`

Therefore, Scale of the model is 1 inch : 12 ft.