Question

Use the scale drawing and the scale factor to enlarge a square that has a side length of 12 in. Scale factor= 3 in:2m.

Which proportion could you use to solve the side length, x, of the enlarged square?

Answer 1

Given:

The side of square = 12 in.

Scale factor of enlargement = 3 in : 2 m

To find:

The proportion that is use to solve the side length, x, of the enlarged square.

Solution:

Let, the side of length of enlarged square = x m

In case of enlargement the corresponding sides are proportional.

`(3)/(12)=(2)/(x)`

`3x=2* 12`

`3x=24`

Divide both sides by 3.

`x=(24)/(3)`

`x=8`

Therefore, the required proportion is
`(3)/(12)=(2)/(x)` and the side length of the square after enlargement is 8 m.