Answer:
The new length of the enlarged figure will 18 cm.
Step-by-step explanation:
A scale factor is a number which scales, or multiplies the original figure by some quantity.
In the equation [tex]y = Cx[/tex], C is a scale factor for x. It is called the constant of proportionality or scale factor of y to x.
As the given length is 3 cm, so with a scale factor of 6, the length of the enlarged figure will be [tex]3\times 6=18[/tex] cm
Therefore, the new length of the enlarged figure will 18 cm.
