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.
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
1 answer
1 answer