Concept:
This is a
counting of straight lines problem involving:
- Identifying distinct straight line segments
- Counting continuous lines as one
- Avoiding double counting
Step 1: Count horizontal lines.
- Base line = 1
- Internal horizontal lines = 3
Total horizontal lines = 4
Step 2: Count slanting lines (left to right).
- Left boundary = 1
- Internal slanting lines = 3
Total = 4
Step 3: Count slanting lines (right to left).
- Right boundary = 1
- Internal slanting lines = 2
Total = 3
Step 4: Total lines.
\[
4 + 4 + 3 = 11
\]
Step 5: Option analysis.
- (A) 9: Under-counted $\times$
- (B) 11: Correct count \checkmark
- (C) 14: Over-counted $\times$
- (D) 12: Extra counting $\times$
- (E) 8: Missing several lines $\times$
Conclusion:
Thus, the correct answer is
Option (B).