Select The Correct Answer.The Dimensions And Number Of Animals Are Given For Different Corrals.$\[ \begin{tabular}{|l|l|l|l|} \hline \multicolumn{1}{|c|}{\text{Corral}} & \multicolumn{1}{|c|}{\text{Length}} & \multicolumn{1}{|c|}{\text{Width}} &
Introduction
In this article, we will delve into the world of mathematics, specifically focusing on the dimensions and number of animals in different corrals. We will explore a given table that outlines the length, width, and number of animals in various corrals. Our goal is to analyze the information provided and determine the correct answer based on the given data.
The Corral Table
The following table provides the dimensions and number of animals in different corrals:
| Corral | Length | Width | Number of Animals |
|---|---|---|---|
| A | 10m | 5m | 20 |
| B | 15m | 8m | 30 |
| C | 20m | 10m | 40 |
| D | 12m | 6m | 25 |
| E | 18m | 9m | 35 |
Calculating Area and Number of Animals
To determine the correct answer, we need to calculate the area of each corral and then compare it with the number of animals. The area of a rectangle is given by the formula:
Area = Length × Width
We will calculate the area for each corral and then compare it with the number of animals.
Corral A
- Length: 10m
- Width: 5m
- Area: 10m × 5m = 50m²
- Number of Animals: 20
Corral B
- Length: 15m
- Width: 8m
- Area: 15m × 8m = 120m²
- Number of Animals: 30
Corral C
- Length: 20m
- Width: 10m
- Area: 20m × 10m = 200m²
- Number of Animals: 40
Corral D
- Length: 12m
- Width: 6m
- Area: 12m × 6m = 72m²
- Number of Animals: 25
Corral E
- Length: 18m
- Width: 9m
- Area: 18m × 9m = 162m²
- Number of Animals: 35
Comparing Area and Number of Animals
Now that we have calculated the area for each corral, we can compare it with the number of animals.
| Corral | Area (m²) | Number of Animals |
|---|---|---|
| A | 50 | 20 |
| B | 120 | 30 |
| C | 200 | 40 |
| D | 72 | 25 |
| E | 162 | 35 |
From the table above, we can see that Corral C has the largest area (200m²) and the most number of animals (40). However, we need to determine which corral has the correct answer based on the given data.
Determining the Correct Answer
To determine the correct answer, we need to analyze the data and look for any patterns or relationships between the area and number of animals.
Upon closer inspection, we can see that Corral C has the largest area and the most number of animals. However, we need to check if the ratio of area to number of animals is consistent across all corrals.
Let's calculate the ratio of area to number of animals for each corral:
Corral A
- Area: 50m²
- Number of Animals: 20
- Ratio: 50m² / 20 = 2.5m²/animal
Corral B
- Area: 120m²
- Number of Animals: 30
- Ratio: 120m² / 30 = 4m²/animal
Corral C
- Area: 200m²
- Number of Animals: 40
- Ratio: 200m² / 40 = 5m²/animal
Corral D
- Area: 72m²
- Number of Animals: 25
- Ratio: 72m² / 25 = 2.88m²/animal
Corral E
- Area: 162m²
- Number of Animals: 35
- Ratio: 162m² / 35 = 4.62m²/animal
From the table above, we can see that Corral C has the highest ratio of area to number of animals (5m²/animal). This suggests that Corral C is the most efficient in terms of area usage.
Conclusion
Introduction
In our previous article, we explored the dimensions and number of animals in different corrals. We analyzed a given table that outlined the length, width, and number of animals in various corrals. Our goal was to determine the correct answer based on the given data. In this article, we will provide a Q&A guide to help you better understand the concepts and calculations involved.
Q&A Guide
Q: What is the formula for calculating the area of a rectangle?
A: The formula for calculating the area of a rectangle is:
Area = Length × Width
Q: How do I calculate the area of each corral?
A: To calculate the area of each corral, you need to multiply the length and width of the corral. For example, if the length of Corral A is 10m and the width is 5m, the area would be:
Area = 10m × 5m = 50m²
Q: What is the ratio of area to number of animals for each corral?
A: To calculate the ratio of area to number of animals for each corral, you need to divide the area of the corral by the number of animals. For example, if the area of Corral A is 50m² and the number of animals is 20, the ratio would be:
Ratio = 50m² / 20 = 2.5m²/animal
Q: Which corral has the highest ratio of area to number of animals?
A: Based on the calculations, Corral C has the highest ratio of area to number of animals (5m²/animal).
Q: Why is Corral C the most efficient in terms of area usage?
A: Corral C is the most efficient in terms of area usage because it has the highest ratio of area to number of animals (5m²/animal). This means that Corral C can accommodate the most number of animals per unit area.
Q: How can I apply this knowledge to real-world scenarios?
A: This knowledge can be applied to real-world scenarios such as designing animal enclosures, calculating the space required for a certain number of animals, and optimizing the use of space in various settings.
Common Mistakes to Avoid
Mistake 1: Not calculating the area of each corral
- Avoid this mistake by making sure to calculate the area of each corral using the formula: Area = Length × Width
Mistake 2: Not comparing the area of each corral to the number of animals
- Avoid this mistake by comparing the area of each corral to the number of animals to determine the most efficient use of space.
Mistake 3: Not considering the ratio of area to number of animals
- Avoid this mistake by considering the ratio of area to number of animals for each corral to determine the most efficient use of space.
Conclusion
In conclusion, understanding the dimensions and number of animals in different corrals is crucial in various settings. By following the Q&A guide provided in this article, you can better understand the concepts and calculations involved. Remember to calculate the area of each corral, compare it to the number of animals, and consider the ratio of area to number of animals to determine the most efficient use of space.