Select the correct answer.

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

\begin{tabular}{|l|l|l|l|}
\hline
Corral & \multicolumn{1}{|c|}{Length} & \multicolumn{1}{|c|}{Width} & Number of Animals \\
\hline
1 & 50 meters & 40 meters & 110 \\
\hline
2 & 60 meters & 35 meters & 115 \\
\hline
3 & 55 meters & 45 meters & 125 \\
\hline
4 & 65 meters & 40 meters & 130 \\
\hline
\end{tabular}

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



Answer :

To determine which corral meets the requirement of having at least 20 square meters per animal, let's compute the area per animal for each corral and check if it is greater than or equal to the required 20 square meters.

Corral 1:
- Length: 50 meters
- Width: 40 meters
- Number of Animals: 110

Area of Corral 1 = Length × Width = 50 meters × 40 meters = 2000 square meters

Area per animal for Corral 1 = Total Area / Number of Animals = 2000 square meters / 110 animals ≈ 18.18 square meters per animal

Corral 2:
- Length: 60 meters
- Width: 35 meters
- Number of Animals: 115

Area of Corral 2 = Length × Width = 60 meters × 35 meters = 2100 square meters

Area per animal for Corral 2 = Total Area / Number of Animals = 2100 square meters / 115 animals ≈ 18.26 square meters per animal

Corral 3:
- Length: 55 meters
- Width: 45 meters
- Number of Animals: 125

Area of Corral 3 = Length × Width = 55 meters × 45 meters = 2475 square meters

Area per animal for Corral 3 = Total Area / Number of Animals = 2475 square meters / 125 animals ≈ 19.8 square meters per animal

Corral 4:
- Length: 65 meters
- Width: 40 meters
- Number of Animals: 130

Area of Corral 4 = Length × Width = 65 meters × 40 meters = 2600 square meters

Area per animal for Corral 4 = Total Area / Number of Animals = 2600 square meters / 130 animals ≈ 20 square meters per animal

Comparing the calculations, only Corral 4 meets the requirement of at least 20 square meters per animal.

Thus, the correct answer is:
D. Corral 4