Adenan makes a scale drawing of a rectangular flower box. The length is 5 in., and the width is 3 in. Adenan changes the scale of the drawing from 1 in. : 4 ft to 1 in. : 6 ft. Which statement about the dimensions of the flower box is true?

Question

The length of the flower box under the new scale is 15 ft.
The length of the flower box under the old scale is 30 ft.
The width of the flower box under the old scale is 12 ft.
The width of the flower box under the new scale is 24 ft.

Answer 1

To find the true statements about the dimensions of the flower box under the old and new scales, we need to convert the drawing dimensions into real-life dimensions based on the scales:

1. Old Scale (1 in. : 4 ft):

   • Length:
     • Drawing length = 5 in.
     • Actual length = 5 in. × 4 ft/in. = 20 ft.
   • Width:
     • Drawing width = 3 in.
     • Actual width = 3 in. × 4 ft/in. = 12 ft.

2. New Scale (1 in. : 6 ft):

   • Length:
     • Actual length = 5 in. × 6 ft/in. = 30 ft.
   • Width:
     • Actual width = 3 in. × 6 ft/in. = 18 ft.

Now, let's evaluate each of the statements:

1. The length of the flower box under the new scale is 15 ft. - False (the actual length is 30 ft).
2. The length of the flower box under the old scale is 30 ft. - False (the actual length is 20 ft).
3. The width of the flower box under the old scale is 12 ft. - True (the actual width is 12 ft).
4. The width of the flower box under the new scale is 24 ft. - False (the actual width is 18 ft).

Thus, the only true statement is: The width of the flower box under the old scale is 12 ft.