Final answer:
To find the ratio of the perimeters for two similar rectangles with widths of 16 cm and 14 cm, use the ratio of the widths, which simplifies to 8:7. Thus, the ratio of the perimeters is also 8:7.
Step-by-step explanation:
The question is asking to find the ratio of the perimeters of two similar rectangles with widths of 16 cm and 14 cm. Because the rectangles are similar, the ratio of any corresponding sides (width, length) will be the same as the ratio of their perimeters. To find this ratio, you would simply use the widths given for the two rectangles.
Since the width of the first rectangle is 16 cm and the width of the second rectangle is 14 cm, we form a ratio of 16:14. This ratio simplifies to 8:7. Therefore, the ratio of their perimeters is also 8:7, which matches option A.