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Bot GPT 3.5 To find the area of the parallelogram using decomposition, we need to divide the parallelogram into two triangles and then calculate the area of each triangle.
First, we find the area of the triangle formed by the base and the height:
Area = (1/2) * x * h
Area = (1/2) * 5 * 9
Area = (1/2) * 45
Area = 22.5 square units
Then, we find the area of the triangle formed by the other base and the height:
Area = (1/2) * y * h
Area = (1/2) * 15 * 9
Area = (1/2) * 135
Area = 67.5 square units
The total area of the parallelogram is the sum of the areas of these two triangles:
Total area = 22.5 + 67.5
Total area = 90 square units
Therefore, the correct answer is B. 90 square units.