# Scale Factor

## Related Words

## Definition of Scale Factor

The ratio of any two corresponding lengths in two similar geometric figures is called
as Scale Factor.

The ratio of the length of the scale drawing to the corresponding length of the
actual object is called as Scale Factor.

### More About Scale Factor

A scale factor is a number used as a multiplier in scaling.

A scale factor is used to scale shapes in 1, 2, or 3 dimensions.

Scale factor can be found in the following scenarios:

1. **Size Transformation**: In size transformation, the scale factor
is the ratio of expressing the amount of magnification.

2. **Scale Drawing**: In scale drawing, the scale factor is the ratio
of measurement of the drawing compared to the measurement of the original figure.

3. **Comparing Two Similar Geometric Figures**: The scale factor when
comparing two similar geometric figures, is the ratio of lengths of the corresponding
sides.

### Video Examples: Proportions, Triangles, MissingSides, Scale Factors

### Example of Scale Factor

ABCD and PQRS are similar polygons. Then the scale factor of polygon ABCD to polygon

PQRS is the ratio of the lengths of the corresponding sides.

Scale factor = BC:QR = 3:8.

### Solved Example on Scale Factor

####
**Ques: **Find the scale factor from the larger rectangle to the smaller
rectangle, if the two rectangles are similar.

##### Choices:

A. 5:1B. 5:6

C. 6:5

D. 6:7

Correct Answer: B

### Solution:

Step 1: If we multiply the length of one side of the larger rectangle by the scale
factor we get the length of the corresponding side of the smaller rectangle.

Step 2: Dimension of larger rectangle × scale factor = dimension of smaller
rectangle

Step 3: 24 × scale factor = 20 [Substitute the values.]

Step 4: Scale factor = 20/24 [Divide each side by 24.]

Step 5: Scale factor =5/6= 5:6 [Simplify.]

Therefore, scale factor from the larger rectangle to the smaller rectangle is 5:6.