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)?

Rationale

Each section of the garden has an area of 36 m².

The total area of the rectangular garden is calculated by multiplying its length and width, resulting in 108 m². Dividing this total area by the three sections gives an area of 36 m² allocated to each section.

A (36 m2) CORRECT

This choice accurately represents the area of each section, as the total area of 108 m² divided by 3 equals 36 m². Hence, each section is allocated an equal area of 36 m².

B (54 m2) YOUR ANSWER

This option suggests each section has an area of 54 m². If each section were 54 m², the total area would be 162 m² (54 m² x 3), which exceeds the actual area of the garden (108 m²). Therefore, this choice is incorrect.

C (27 m2) YOUR ANSWER

Selecting 27 m² for each section implies a total area of 81 m² (27 m² x 3), which is less than the garden's total area of 108 m². This discrepancy indicates that 27 m² cannot be the area for each section.

D (14 m2) YOUR ANSWER

This choice indicates each section has an area of 14 m². Multiplying by three gives a total of 42 m² (14 m² x 3), which is significantly less than the garden's total area of 108 m². Hence, this option is incorrect.

Conclusion

To determine the area of each section of the garden, the total area of 108 m² must be divided by the number of sections, three. This results in an area of 36 m² for each section. All other options either exceed or fall short of the garden's total area, confirming that 36 m² is the only valid allocation.

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)?

Each section of the garden has an area of 36 m².

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