To determine which corral meets the requirement of having at least 20 square meters per animal, we'll evaluate each corral step-by-step and calculate the available space per animal.
1. Corral 1
- Length: 50 meters
- Width: 40 meters
- Number of Animals: 110
Calculate the area:
[tex]\[
\text{Area} = 50 \times 40 = 2000 \text{ square meters}
\][/tex]
Calculate the space per animal:
[tex]\[
\text{Space per Animal} = \frac{2000 \text{ square meters}}{110 \text{ animals}} \approx 18.18 \text{ square meters}
\][/tex]
Space per animal (18.18) is less than 20 square meters. Therefore, Corral 1 does not meet the requirement.
2. Corral 2
- Length: 60 meters
- Width: 35 meters
- Number of Animals: 115
Calculate the area:
[tex]\[
\text{Area} = 60 \times 35 = 2100 \text{ square meters}
\][/tex]
Calculate the space per animal:
[tex]\[
\text{Space per Animal} = \frac{2100 \text{ square meters}}{115 \text{ animals}} \approx 18.26 \text{ square meters}
\][/tex]
Space per animal (18.26) is less than 20 square meters. Therefore, Corral 2 does not meet the requirement.
3. Corral 3
- Length: 55 meters
- Width: 45 meters
- Number of Animals: 125
Calculate the area:
[tex]\[
\text{Area} = 55 \times 45 = 2475 \text{ square meters}
\][/tex]
Calculate the space per animal:
[tex]\[
\text{Space per Animal} = \frac{2475 \text{ square meters}}{125 \text{ animals}} = 19.8 \text{ square meters}
\][/tex]
Space per animal (19.8) is less than 20 square meters. Therefore, Corral 3 does not meet the requirement.
4. Corral 4
- Length: 65 meters
- Width: 40 meters
- Number of Animals: 130
Calculate the area:
[tex]\[
\text{Area} = 65 \times 40 = 2600 \text{ square meters}
\][/tex]
Calculate the space per animal:
[tex]\[
\text{Space per Animal} = \frac{2600 \text{ square meters}}{130 \text{ animals}} = 20 \text{ square meters}
\][/tex]
Space per animal (20) is exactly at 20 square meters. Therefore, Corral 4 meets the requirement.
Given these calculations, the corral that meets the requirement is:
D. Corral 4
