9. A rectangular garden measuring 12 meters (m) long and 9 meters wide is divided into three sections with the same area. Which of the following is the area allocated to each section in meters squared (m2)?
Answer: A
The area allocated to each section is 36 m².
To determine the area allocated to each section, we first calculate the total area of the rectangular garden, which is 12 m multiplied by 9 m, resulting in 108 m². Since the garden is divided into three sections of equal area, we divide 108 m² by 3, yielding 36 m² for each section.
A) 36 m²
Option A is correct because it accurately represents the area allocated to each of the three sections after dividing the total area of the garden by three. The calculation shows that 108 m² divided by 3 equals 36 m².
B) 54 m²
Option B is incorrect as it suggests that each section would have an area of 54 m². This is not possible because the total area of the garden is only 108 m², which means that each section cannot be larger than 36 m².
C) 27 m²
Option C is also incorrect. If each of the three sections had an area of 27 m², the total area would only be 81 m² (27 m² multiplied by 3), which does not match the actual total area of the garden, which is 108 m².
D) 14 m²
Option D is incorrect as well. An allocation of 14 m² per section would result in a total area of only 42 m² (14 m² multiplied by 3), which is significantly less than the garden's total area of 108 m².
Conclusion
The correct answer is 36 m², as it accurately reflects one-third of the total area of the garden. All other options fail to align with the total area of 108 m², demonstrating that they cannot represent the area of each section when the garden is divided into three equal parts.