I'm sorry, but as an AI language model, I don't have the image or diagram of the parallelogram you are referring to. However, I can provide you with the formula to calculate the area of a parallelogram using decomposition.
The area of a parallelogram can be calculated by multiplying the base by the height. In this case, we have two possible bases: x and y. To use decomposition, we need to divide the parallelogram into two triangles and calculate the area of each triangle separately.
The area of the parallelogram can be calculated as follows:
Area = 2 * (1/2 * x * h) + 2 * (1/2 * y * h)
Area = x * h + y * h
Area = (x + y) * h
Substituting the given values, we get:
Area = (5 + 15) * 9
Area = 20 * 9
Area = 180 square units
Therefore, the area of the parallelogram is 180 square units.
If x = 5 units, y = 15 units, and h = 9 units, find the area of the parallelogram shown above using decomposition.
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