Final answer:
To find the height of the list, we can use ratios. The height-to-width ratio of the glass pane is 4:3, and the ratio for the frame is 12:6. By setting up a proportion, we can find the height of the list.
Step-by-step explanation:
To find the height of the list, we can use a ratio. The ratio for the height-to-width of the glass pane is 4:3, meaning that for every 4 units of height, there are 3 units of width. The ratio for the frame is 12:6, meaning that for every 12 units of height, there are 6 units of width. We can set up a proportion using these ratios:
4/3 = 12/x
To solve for x, we cross-multiply:
4x = 12 * 3
4x = 36
x = 36/4
x = 9
Therefore, the height of the list is 9 inches.