Answer: (D) 30

To find the total number of parallelograms in the figure, use a systematic counting method based on the grid of horizontal and slanted lines.

There are 3 horizontal lines and 5 slanted lines. A parallelogram is formed by choosing any two horizontal lines and any two slanted lines.

Number of ways to choose 2 horizontal lines from 3: C(3,2) = 3

Number of ways to choose 2 slanted lines from 5: C(5,2) = 10

Total number of parallelograms = 3 × 10 = 30