If x = 4 units, y = 8 units, and h = 7 units, find the area of the parallelogram shown above using decomposition.
A.
28 square units
B.
56 square units
C.
112 square units
D.
84 square units
To find the area of the parallelogram, we can decompose it into two triangles, with base x and height h for one triangle, and base y and height h for the other triangle.
Area of first triangle = (1/2) * x * h = (1/2) * 4 * 7 = 14 square units
Area of second triangle = (1/2) * y * h = (1/2) * 8 * 7 = 28 square units
Total area of the parallelogram = Area of first triangle + Area of second triangle
Total area = 14 + 28 = 42 square units
Therefore, the correct answer is not provided in the options given. The correct area is 42 square units.