Question

What is the scale factor and length of side x

Answer 1

Answer:

The scale factor is 2

x=11 units

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The ratio of its corresponding sides is called the scale factor

In this problem

Triangles RST and MNO are similar

so

$\frac{NO}{ST}=\frac{MN}{RS}$

substitute the given values

$\frac{x}{5.5}=\frac{6}{3}$

solve for x

$\frac{x}{5.5}=2$

$x=2(5.5)\\x=11\ units$

The scale factor of triangle RST to triangle MNO (enlargement) is equal to 2