Given:
A rectangle has dimensions 8ft x 12ft.
After dilatation the new dimensions of 32 ft x 48 ft.
To find:
The scale factor of the dilation.
Solution:
We know that,
[tex]\text{Scale factor}=\dfrac{\text{Side length of new figure}}{\text{Corresponding side length of original figure}}[/tex]
Dimensions of original rectangle are 8ft x 12ft and dimensions of the new rectangle are 32 ft x 48 ft. Corresponding side of 8ft is 32 ft and corresponding side of 12 ft is 48 ft.
[tex]\text{Scale factor}=\dfrac{32}{8}[/tex]
[tex]\text{Scale factor}=4[/tex]
Therefore, the scale factor is 4.
