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!
To determine the scaled versions of the United States flag, we need to find flags that have either larger or smaller dimensions but maintain the same ratio.
The ratio of the dimensions of the standard United States flag is 3:5.
Now, let's analyze each option:
1. 6 feet x 10 feet: This flag has the same ratio as the standard United States flag, so it is a scaled version. The dimensions are doubled: 3 * 2 = 6 and 5 * 2 = 10.
2. 1 foot x 2 feet: This flag also has the same ratio, so it is a scaled version. The dimensions are halved: 3 ÷ 2 = 1.5 (rounded to 1) and 5 ÷ 2 = 2.5 (rounded to 2).
3. 2 feet x 3.5 feet: This flag has the same ratio, so it is a scaled version. The dimensions are slightly smaller: 3 ÷ 2 = 1.5 (rounded to 1) and 5 ÷ 2 = 2.5 (rounded to 2).
4. 4 feet x 6 feet: This flag has the same ratio, so it is a scaled version. The dimensions are doubled: 3 * 2 = 6 and 5 * 2 = 10.
5. 3 meters x 5 meters: Although the dimensions are different, the ratio remains the same. Therefore, this flag is also a scaled version.
From the options provided, the following are scaled versions of the United States flag: 6 feet x 10 feet, 1 foot x 2 feet, 2 feet x 3.5 feet, 4 feet x 6 feet, and 3 meters x 5 meters.