Question

Find the length of each model. Then find the scale factor use image to help.

2 in=15 ft 87ft

Answer 1

Length of the model = 11.6 inch

Scale factor =
`(1)/(90)`.

Solution:

Given 87 feet.

2 inch = 15 feet

To find the length of the model:

`$\frac{2 \text { inch }}{15 \text { feet }}=\frac{x \text { inch }}{87 \text { feet }}$`

Do cross multiplication.

`2 * 87=x * 15`

`174=x * 15`

`$x=(174)/(15)`

`x=11.6` inch

Length of the model = 11.6 inch

Let us first change the unit as same.

1 feet = 12 inches

15 feet = 15 × 12 = 180 inches

`$\text{Scale factor} =\frac{2 \text { inch }}{15 \text { feet }}$`

`$ =\frac{2 \text { inch }}{180 \text { inch }}$`

`$=(1)/(90)`

Hence scale factor =
`(1)/(90)`.