a standard united states flag has the dimensions of 3 feet x 5 feet. which of the following could be scaled versions of this flag? select all that apply
15 feet by 25 feet
2 feet x 4 feet
6 feet by 15 feet
30 feet by 50 feet
1 foot x 2 feet
To determine if these are scaled versions of the standard United States flag, we need to check if the proportions are maintained.
The standard flag has dimensions of 3 feet x 5 feet, so the ratio between width and height is 3:5.
Calculating the ratios for each of the options:
1. 15 feet by 25 feet: Ratio = 15/25 = 3:5 (maintains the proportion)
2. 2 feet x 4 feet: Ratio = 2/4 = 1:2 (not the same proportion)
3. 6 feet by 15 feet: Ratio = 6/15 = 2:5 (not the same proportion)
4. 30 feet by 50 feet: Ratio = 30/50 = 3:5 (maintains the proportion)
5. 1 foot x 2 feet: Ratio = 1/2 = 1:2 (not the same proportion)
Therefore, the scaled versions would be:
- 15 feet by 25 feet
- 30 feet by 50 feet