Question

An architect is designing a building that is 200 ft long and 140 ft wide. She builds a model so that the similarity ratio of the model to the building is 1 : 500. What is the length and width of the model in inches?

Answer 1

The length is
`4.8\ in`

The width is
`3.36\ in`

Explanation:

we know that

The scale factor is equal to
`(1)/(500)`

To find the dimensions of the model multiply the dimension of the building by the scale factor

so

Find the length of the model

`200*(1)/(500)=(2)/(5)=0.40\ ft`

Find the width of the model

`140*(1)/(500)=0.28\ ft`

Convert the dimensions to inches

Remember that

`1\ ft=12\ in`

`0.40\ ft=0.40*12=4.8\ in`

`0.28\ ft=0.28*12=3.36\ in`