What is the number of straight lines in the following figure?
- A10
- B12
- C13
- D17
Solution & Step-by-step Explanation
To find the total number of straight lines, we can classify them into horizontal, vertical, and slanted (slanting) lines:
1. Horizontal lines: There are 3 horizontal lines (the top boundary, the middle line, and the bottom boundary).
2. Vertical lines: There are 3 vertical lines (the left boundary, the middle dividing line, and the right boundary of the main rectangle).
3. Slanted lines: * Inside the left section of the rectangle, there are 2 diagonal lines.
* Inside the right section of the rectangle, there are 2 diagonal lines.
* On the far-right triangular extension, there are 2 slanting lines connecting to the outer vertex.
* Total slanted lines = .
Total number of straight lines = .
1. Horizontal lines: There are 3 horizontal lines (the top boundary, the middle line, and the bottom boundary).
2. Vertical lines: There are 3 vertical lines (the left boundary, the middle dividing line, and the right boundary of the main rectangle).
3. Slanted lines: * Inside the left section of the rectangle, there are 2 diagonal lines.
* Inside the right section of the rectangle, there are 2 diagonal lines.
* On the far-right triangular extension, there are 2 slanting lines connecting to the outer vertex.
* Total slanted lines = .
Total number of straight lines = .