Question
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
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
Answers
GPT 3.5
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
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