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.

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.

$\dfrac{3}{12}=\dfrac{2}{x}$

$3x=2\times 12$

$3x=24$

Divide both sides by 3.

$x=\dfrac{24}{3}$

$x=8$

Therefore, the required proportion is $\dfrac{3}{12}=\dfrac{2}{x}$ and the side length of the square after enlargement is 8 m.