Question

Which assortment of side lengths would create a rectangle?(1 point)
Responses

6 inches, 0.5 foot, 9 inches, and 1 foot
6 inches, 0.5 foot, 9 inches, and 1 foot

11 inches, 1 foot, 12 inches, and 1 foot
11 inches, 1 foot, 12 inches, and 1 foot

12 inches, 1 foot, 2.5 feet, and 30 inches
12 inches, 1 foot, 2.5 feet, and 30 inches

6 inches, 6 inches, 15 inches, and 1.5 feet

Answer 1

To create a rectangle, you need two pairs of equal lengths. Let's analyze each set of side lengths:

1. **6 inches, 0.5 foot, 9 inches, and 1 foot**
- Converting 0.5 foot to inches: 0.5 foot = 6 inches
- Side lengths: 6 inches, 6 inches, 9 inches, 12 inches
- No pairs of equal lengths.

2. **11 inches, 1 foot, 12 inches, and 1 foot**
- Converting 1 foot to inches: 1 foot = 12 inches
- Side lengths: 11 inches, 12 inches, 12 inches, 12 inches
- Only one pair of equal lengths (12 inches), not two pairs.

3. **12 inches, 1 foot, 2.5 feet, and 30 inches**
- Converting 1 foot to inches: 1 foot = 12 inches
- Converting 2.5 feet to inches: 2.5 feet = 30 inches
- Side lengths: 12 inches, 12 inches, 30 inches, 30 inches
- Two pairs of equal lengths (12 inches and 30 inches). This forms a rectangle.

4. **6 inches, 6 inches, 15 inches, and 1.5 feet**
- Converting 1.5 feet to inches: 1.5 feet = 18 inches
- Side lengths: 6 inches, 6 inches, 15 inches, 18 inches
- Only one pair of equal lengths (6 inches), not two pairs.

The only assortment that creates a rectangle is the third one: **12 inches, 1 foot, 2.5 feet, and 30 inches**.