Let's analyze the scale drawings and the conversions to determine the correct statements.
1. Old Scale: 1 in. : 3 ft
- Length of the drawing = 9 in.
- Width of the drawing = 6 in.
Using the old scale:
- Length of the actual garden = 9 in. * 3 ft/in. = 27 ft
- Width of the actual garden = 6 in. * 3 ft/in. = 18 ft
2. New Scale: 1 in. : 4 ft
- Length of the drawing = 9 in.
- Width of the drawing = 6 in.
Using the new scale:
- Length of the actual garden = 9 in. * 4 ft/in. = 36 ft
- Width of the actual garden = 6 in. * 4 ft/in. = 24 ft
Now, let's review the statements:
- The width of the garden under the new scale is 24 ft. - This is true.
- The length of the garden under the new scale is 12 ft. - This is false; it is 36 ft.
- The length of the garden under the old scale is 36 ft. - This is false; it is 27 ft.
- The width of the garden under the old scale is 27 ft. - This is false; it is 18 ft.
The correct statement is: The width of the garden under the new scale is 24 ft.