If x = 4 units, y = 4 units, and h = 6 units, find the area of the trapezoid shown above using decomposition.
A.
36 square units
B.
48 square units
C.
72 square units
D.
24 square units
To find the area of the trapezoid using decomposition, we first need to decompose it into two shapes: a rectangle and a right triangle.
The rectangle's area is given by x * h = 4 * 6 = 24 square units.
The right triangle's area is given by 0.5 * (y - x) * h = 0.5 * (4 - 4) * 6 = 0 square units.
Therefore, the total area of the trapezoid is the sum of the areas of the rectangle and the right triangle:
24 + 0 = 24 square units
So, the answer is D. 24 square units.