The scale factor is 2
The height of blue rectangle is 5 units
The width of blue rectangle is 6 units
The hight of black rectangle is 2.5 units
The width of black rectangle is 3 units
(height of blue rectangle) / (height of black rectangle)
= 5/2.5
=2
(width of blue rectangle) / (width of black rectangle)
=6/3
=2
Therefore, we can know that the width and height of blue rectangle is double the widths and height of black rectangle.
That’s why the scale factor is 2