Final answer:
To find the dimensions of the second and third rectangles, we use the length-to-width ratio of 6:1 from the first rectangle. The second rectangle has a width of 1.5 cm, and the third rectangle has a length of 36 cm.
Step-by-step explanation:
To determine the dimensions of the other rectangles, we need to establish a ratio based on the given dimensions of the first rectangle. We know that the first rectangle has a width of 2.5 cm and a length of 15 cm, so the length-to-width ratio is 15:2.5, or 6:1 when simplified.
A. For the second rectangle with a length of 9 cm, we use the same ratio 6:1 to find its width. Therefore, if Length / Width = 6 / 1, then 9 / Width = 6 / 1. To find Width, we solve for Width by multiplying both sides by Width and then dividing both sides by 6: Width = 9 / 6 = 1.5 cm.
B. Similarly, for the third rectangle with a width of 6 cm, to find its length, we set up the proportion Length / 6 = 6 / 1. Multiplying both sides by 6 gives us Length = 6 * 6 = 36 cm.