Final answer:
The new dimensions of the rectangle when enlarged using a scale factor of 2.5 are Length: 22.5 cm and Width: 12.5 cm.
Step-by-step explanation:
To find the new dimensions of the rectangle when it is enlarged using a scale factor of 2.5, we multiply the original dimensions by the scale factor.
The original length is 9 cm, so the new length is 9 cm x 2.5 = 22.5 cm.
The original width is 5 cm, so the new width is 5 cm x 2.5 = 12.5 cm.
Therefore, the new dimensions of the rectangle are Length: 22.5 cm and Width: 12.5 cm, which corresponds to option A).