To determine which corral meets the requirement of having at least 20 square meters per animal, we need to calculate the area of each corral and then the available space per animal.
1. Corral 1:
- Dimensions: 50 meters (length) x 40 meters (width)
- Number of Animals: 110
- Total Area: [tex]\( 50 \times 40 = 2000 \)[/tex] square meters
- Area per Animal: [tex]\( \frac{2000}{110} \approx 18.18 \)[/tex] square meters per animal
2. Corral 2:
- Dimensions: 60 meters (length) x 35 meters (width)
- Number of Animals: 115
- Total Area: [tex]\( 60 \times 35 = 2100 \)[/tex] square meters
- Area per Animal: [tex]\( \frac{2100}{115} \approx 18.26 \)[/tex] square meters per animal
3. Corral 3:
- Dimensions: 55 meters (length) x 45 meters (width)
- Number of Animals: 125
- Total Area: [tex]\( 55 \times 45 = 2475 \)[/tex] square meters
- Area per Animal: [tex]\( \frac{2475}{125} = 19.8 \)[/tex] square meters per animal
4. Corral 4:
- Dimensions: 65 meters (length) x 40 meters (width)
- Number of Animals: 130
- Total Area: [tex]\( 65 \times 40 = 2600 \)[/tex] square meters
- Area per Animal: [tex]\( \frac{2600}{130} \approx 20 \)[/tex] square meters per animal
Now, we compare the calculated area per animal with the minimum requirement of 20 square meters per animal:
- Corral 1: 18.18 square meters per animal (does not meet the requirement)
- Corral 2: 18.26 square meters per animal (does not meet the requirement)
- Corral 3: 19.8 square meters per animal (does not meet the requirement)
- Corral 4: 20 square meters per animal (meets the requirement)
Thus, the corral that meets the requirement of having at least 20 square meters per animal is:
D. Corral 4
