The problem states that Matilde's class takes care of a rhomboid-shaped section of the garden. The base of the rhomboid is 1.1 dam, and the height is 72 dm. There are 23 students in Matilde's class. We need to find out how many square meters of the garden each student will take care of.

1. Problem Description

The problem states that Matilde's class takes care of a rhomboid-shaped section of the garden. The base of the rhomboid is 1.1 dam, and the height is 72 dm. There are 23 students in Matilde's class. We need to find out how many square meters of the garden each student will take care of.

2. Solution Steps

First, we need to convert the measurements to the same unit (meters).

1 dam = 10 m, so 1.1 dam = 1.1 * 10 m = 11 m.

1 dm = 0.1 m, so 72 dm = 72 * 0.1 m = 7.2 m.

The area of a rhomboid is given by the formula:

$Area = base * height$

Therefore, the area of the garden section is:

$Area = 11 m * 7.2 m = 79.2 m^2$.

Now, we divide the total area by the number of students to find the area each student will take care of:

Area per student = $Total Area / Number of students = 79.2 m^2 / 23 students$.

Area per student = $3.44347826087 m^2$

Rounding to two decimal places, we get $3.44 m^2$ per student.

3. Final Answer

Each student will take care of approximately 3.44 square meters of the garden.