Final answer:
The scale factor from rectangle EFGH to rectangle ABCD, with perimeters of 36 cm and 54 cm respectively, is determined by dividing the larger perimeter by the smaller one, resulting in a scale factor of 1.5.
Step-by-step explanation:
The question involves finding the scale factor between two similar rectangles, ABCD and EFGH, which have perimeters of 54 centimeters and 36 centimeters, respectively.
To find the scale factor from EFGH to ABCD, we divide the perimeter of ABCD by the perimeter of EFGH:
Scale Factor = Perimeter of ABCD / Perimeter of EFGH
Scale Factor = 54 cm / 36 cm = 1.5
Therefore, the scale factor from EFGH to ABCD is 1.5.