1. The problem asks to identify the two shapes formed when a given shape is decomposed into two parts. 2. To solve this, we need to analyze the original shape and see how it can be split into simpler geometric shapes. 3. Common decompositions involve splitting complex polygons into triangles, rectangles, squares, or circles. 4. Without a specific shape given, a typical example is decomposing a rectangle with a triangle attached into one rectangle and one triangle. 5. Therefore, the two shapes are usually a rectangle and a triangle, or two triangles, depending on the original figure. 6. This method helps in calculating areas or other properties by working with simpler shapes.