Question

The table below gives the dimensions of a bridge and a scale model of the bridge.

Find the scale factor of the model to the real bridge.
Write your answer as a fraction in simplest form.

Answer 1

Scale factor =
`(1)/(5)`

Explanation:

Formula for the scale factor is,

Scale factor =
`\frac{\text{Dimension of the model}}{\text{Dimension of the original}}`

=
`\frac{\text{Dimension of the model}}{\text{Dimension of the bridge}}`

=
`\frac{\text{Width of the model}}{\text{Width of the bridge}}`

=
`(7)/(35)`

=
`(1)/(5)`

Therefore, scale factor of the model to the real bridge =
`(1)/(5)`