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.
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
1 answer
1 answer