To find the area of the parallelogram using decomposition, we can split it into a rectangle and a right triangle.
First, let's find the area of the rectangle:
The base of the rectangle is x = 5 units and the height is h = 8 units.
Area of rectangle = base * height = 5 * 8 = 40 square units.
Next, let's find the area of the right triangle:
The base of the triangle is y = 15 units and the height is h = 8 units. The right triangle takes up half of the parallelogram, so we can find its area by calculating half of the rectangle area.
Area of triangle = (1/2) * base * height = (1/2) * 15 * 8 = 60 square units.
Therefore, the total area of the parallelogram is the sum of the area of the rectangle and the area of the triangle:
Total area = 40 + 60 = 100 square units.
Therefore, the correct answer is not listed among the options provided.
Note: Figure is not drawn to scale.
If x = 5 units, y = 15 units, and h = 8 units, find the area of the parallelogram shown above using decomposition.
A.
120 square units
B.
160 square units
C.
40 square units
D.
80 square units
1 answer