Rectangle HIJK is dilated to create rectangle H'I'J'K', as shown.

Little rectangle:
Base: 2.9
Height: 1.45

Big rectangle:

Height: 3.915
Base: 7.83

What is the scale factor of the dilation?

The scale factor of the dilation can be determined by comparing the corresponding side lengths of the little rectangle and the big rectangle.

For the base, the ratio is 7.83/2.9 = 2.7.

For the height, the ratio is 3.915/1.45 = 2.7.

Since both ratios are equal to 2.7, we can conclude that the scale factor of the dilation is 2.7.