Find the area of the triangle (in square units) by decomposition.
To find the area of a triangle using decomposition, we can decompose the triangle into smaller, simpler shapes (such as rectangles or right triangles) and then find the area of each shape and add them together.
Let's consider the triangle with base 4 units and height 6 units.
First, we can decompose the triangle into two right triangles by drawing a line from the top of the triangle to the base, creating two right angles.
Now, we have two right triangles with base 4 units and height 6 units. The area of each right triangle is given by (1/2)base*height.
Area of first right triangle = (1/2)*4*6 = 12 square units
Area of second right triangle = (1/2)*4*6 = 12 square units
Therefore, the total area of the triangle is 12 + 12 = 24 square units.