Answer

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**Hint:**To answer this type of question first of all we need to know what is the scale factor then apply the concept and get the required result. So find the ratio of the corresponding sides of the two figures that ratio will be the scale factor of the required question.

**Complete step-by-step answer:**In this problem two images of two geometries are given and the length of two sides in the image is given.

We have to find the scale factor of the given image.

For that first of all we need to know the definition of scale factor

So scale factor is the ratio of length of corresponding side length. In this question we can find the scale factor by finding the ratio of 27 and 9

**So scale factor$ = \dfrac{{27}}{9} \Rightarrow 3$ for the given images.**

**Additional information:**

Scale Factor is used to scale shapes in different dimensions. In geometry, we learn about different geometrical shapes which are both in two-dimension and three-dimension. The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circles look similar but they could have varying radii.

The scale factor states the scale by which a figure is bigger or smaller than the original figure. It is possible to draw the enlarged shape or reduced shape of any original shape with the help of scale factor.

**Note:**In this problem we can also calculate the scale factor by finding the ratio of other corresponding sides of the similar geometry. In all cases the value of the scale factor will be the same.

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