To determine which corral meets the requirement of providing at least 20 square meters per animal, we need to evaluate the area available per animal for each corral. Here's a step-by-step explanation:
1. Calculate the area for each corral:
- Corral 1: [tex]\( 50 \, \text{meters} \times 40 \, \text{meters} = 2000 \, \text{square meters} \)[/tex]
- Corral 2: [tex]\( 60 \, \text{meters} \times 35 \, \text{meters} = 2100 \, \text{square meters} \)[/tex]
- Corral 3: [tex]\( 55 \, \text{meters} \times 45 \, \text{meters} = 2475 \, \text{square meters} \)[/tex]
- Corral 4: [tex]\( 65 \, \text{meters} \times 40 \, \text{meters} = 2600 \, \text{square meters} \)[/tex]
2. Calculate the area per animal for each corral:
- Corral 1: [tex]\( 2000 \, \text{square meters} \div 110 \, \text{animals} \approx 18.18 \, \text{square meters per animal} \)[/tex]
- Corral 2: [tex]\( 2100 \, \text{square meters} \div 115 \, \text{animals} \approx 18.26 \, \text{square meters per animal} \)[/tex]
- Corral 3: [tex]\( 2475 \, \text{square meters} \div 125 \, \text{animals} \approx 19.80 \, \text{square meters per animal} \)[/tex]
- Corral 4: [tex]\( 2600 \, \text{square meters} \div 130 \, \text{animals} = 20.00 \, \text{square meters per animal} \)[/tex]
3. Compare the calculated area per animal with the requirement:
- Corral 1: [tex]\( 18.18 \, < \, 20 \)[/tex] (does not meet the requirement)
- Corral 2: [tex]\( 18.26 \, < \, 20 \)[/tex] (does not meet the requirement)
- Corral 3: [tex]\( 19.80 \, < \, 20 \)[/tex] (does not meet the requirement)
- Corral 4: [tex]\( 20.00 \, \geq \, 20 \)[/tex] (meets the requirement)
Among the given corrals, only Corral 4 meets the requirement of providing at least 20 square meters per animal.
Answer: D. Corral 4
