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The dimensions and number of animals are given for different corrals:

| Corral | Length | Width | Number of Animals |
|--------|--------|-------|-------------------|
| 1 | 50 m | 40 m | 110 |
| 2 | 60 m | 35 m | 115 |
| 3 | 55 m | 45 m | 125 |
| 4 | 65 m | 40 m | 130 |

The population constraints state that each corral should have at least 20 square meters for each animal.

Which corral meets this requirement?

A. Corral 1
B. Corral 2
C. Corral 3
D. Corral 4

Sagot :

GinnyAnswer
To determine which corral meets the requirement of having at least 20 square meters per animal, we need to compute the total area of each corral and then calculate the area per animal. Finally, we compare this area per animal with the required 20 square meters.

### Step-by-Step Calculation

1. Corral 1:
- Length: 50 meters
- Width: 40 meters
- Number of Animals: 110
- Total Area: Length × Width = 50 × 40 = 2000 square meters
- Area per Animal: Total Area / Number of Animals = 2000 / 110 ≈ 18.18 square meters
- Meets Requirement? No, because 18.18 < 20

2. Corral 2:
- Length: 60 meters
- Width: 35 meters
- Number of Animals: 115
- Total Area: Length × Width = 60 × 35 = 2100 square meters
- Area per Animal: Total Area / Number of Animals = 2100 / 115 ≈ 18.26 square meters
- Meets Requirement? No, because 18.26 < 20

3. Corral 3:
- Length: 55 meters
- Width: 45 meters
- Number of Animals: 125
- Total Area: Length × Width = 55 × 45 = 2475 square meters
- Area per Animal: Total Area / Number of Animals = 2475 / 125 = 19.8 square meters
- Meets Requirement? No, because 19.8 < 20

4. Corral 4:
- Length: 65 meters
- Width: 40 meters
- Number of Animals: 130
- Total Area: Length × Width = 65 × 40 = 2600 square meters
- Area per Animal: Total Area / Number of Animals = 2600 / 130 = 20 square meters
- Meets Requirement? Yes, because 20 ≥ 20

### Conclusion
The corral that meets the requirement of having at least 20 square meters per animal is:

D. Corral 4
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