Find the area of the parallelogram by imagining that the blue triangle is moved onto the purple triangle.
A 9 units
B 15 units2
C 16 units2
D 18 units
To find the area of the parallelogram, we need to find the area of the blue triangle and the area of the purple triangle, and then add them together.
From the diagram, we can see that the blue triangle has a base of 6 units and a height of 3 units. The area of a triangle is given by the formula A = (1/2) * base * height, so the area of the blue triangle is (1/2) * 6 * 3 = 9 units^2.
The purple triangle is congruent to the blue triangle, so it also has an area of 9 units^2.
Therefore, the total area of the parallelogram is 9 units^2 + 9 units^2 = 18 units^2.
The answer is D) 18 units^2.