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

\begin{tabular}{|l|l|l|l|}
\hline
\multicolumn{1}{|c|}{ Corral } & \multicolumn{1}{|c|}{ Length } & \multicolumn{1}{|c|}{ Width } & \multicolumn{1}{|c|}{ 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

Sagot :

GinnyAnsweridn
Let's solve the problem step-by-step to find which corral meets the requirement of having at least 20 square meters per animal.

1. Corral 1:
- Length: 50 meters
- Width: 40 meters
- Number of animals: 110
- Area of Corral 1: [tex]\( 50 \times 40 = 2000 \)[/tex] square meters
- Required area for 110 animals: [tex]\( 110 \times 20 = 2200 \)[/tex] square meters
- Since 2000 < 2200, Corral 1 does not meet the requirement.

2. Corral 2:
- Length: 60 meters
- Width: 35 meters
- Number of animals: 115
- Area of Corral 2: [tex]\( 60 \times 35 = 2100 \)[/tex] square meters
- Required area for 115 animals: [tex]\( 115 \times 20 = 2300 \)[/tex] square meters
- Since 2100 < 2300, Corral 2 does not meet the requirement.

3. Corral 3:
- Length: 55 meters
- Width: 45 meters
- Number of animals: 125
- Area of Corral 3: [tex]\( 55 \times 45 = 2475 \)[/tex] square meters
- Required area for 125 animals: [tex]\( 125 \times 20 = 2500 \)[/tex] square meters
- Since 2475 < 2500, Corral 3 does not meet the requirement.

4. Corral 4:
- Length: 65 meters
- Width: 40 meters
- Number of animals: 130
- Area of Corral 4: [tex]\( 65 \times 40 = 2600 \)[/tex] square meters
- Required area for 130 animals: [tex]\( 130 \times 20 = 2600 \)[/tex] square meters
- Since 2600 = 2600, Corral 4 does meet the requirement.

Based on our calculations, the only corral that meets the requirement is:

D. Corral 4
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