If x = 12 units, y = 4 units, and h = 7 units, find the area of the rhombus shown above using decomposition.
A.
84 square units
B.
112 square units
C.
28 square units
D.
15 square units
To find the area of a rhombus using decomposition, we divide the rhombus into four equal triangles and find the area of one triangle.
The formula for the area of a triangle is (base * height) / 2. In this case, the base of the triangle is y = 4 units and the height is h = 7 units.
So, the area of each triangle is (4 * 7) / 2 = 14 square units.
Since there are four triangles in the rhombus, the total area of the rhombus is 4 * 14 = 56 square units.
Therefore, the correct answer is not listed in the options provided.