Final answer:
To compose a region of 1½ square meters, we need 54 identical triangles, assuming each triangle comes from a square meter divided into 9 smaller squares, further decomposed into triangles.
Step-by-step explanation:
The student's question involves decomposing a square and working with areas and triangles, which falls under the subject of Mathematics. Specifically, this is a geometry problem often encountered at the middle school level. Let's start by understanding the first part of the problem. A square with an area of 1 square meter is divided into 9 identical smaller squares. This means that each smaller square has an area of \( \frac{1}{9} \) square meter. When each small square is divided into two identical triangles, each triangle will have an area of \( \frac{1}{18} \) square meter.
To find out how many of these triangles are needed to compose a region of \(1\frac{1}{2}\) square meters, we perform the following calculation:
\(1\frac{1}{2} \) square meters \( = \frac{3}{2} = \) total area in square meters
\( \frac{3}{2} \div \frac{1}{18} = 3 \times 18 = 54 \) triangles needed
Therefore, we need 54 triangles to compose a region of \(1\frac{1}{2}\) square meters.