Note: Figure is not drawn to scale.
If x = 3 units, y = 6 units, and h = 5 units, find the area of the rhombus shown above using decomposition.
A.
90 square units
B.
45 square units
C.
14 square units
D.
30 square units
To find the area of the rhombus, we can first decompose it into two triangles. The height of each triangle would be given by h, and the base of each triangle would be given by x.
Therefore, the area of each triangle would be 1/2 * base * height = 1/2 * 3 * 5 = 7.5 square units.
Since the rhombus is made up of two of these triangles, the total area of the rhombus would be 2 * 7.5 = 15 square units.
Therefore, the correct answer is not listed, as the closest one would be 14 square units. Let me know if you need help with anything else!