There are 4 horizontal and 4 vertical lines, parallel and equidistant to

The question is incomplete but, given the options and context of parallel lines, it implicitly asks for the number of rectangles that can be formed by 4 horizontal and 4 vertical lines.

To form a rectangle, you need to choose 2 distinct horizontal lines and 2 distinct vertical lines.

1. Number of horizontal lines = 4. Number of ways to choose 2 horizontal lines from 4 = C(4, 2) = (4 * 3) / (2 * 1) = 6.

2. Number of vertical lines = 4. Number of ways to choose 2 vertical lines from 4 = C(4, 2) = (4 * 3) / (2 * 1) = 6.

3. The total number of rectangles is the product of the number of ways to choose the horizontal lines and the number of ways to choose the vertical lines. Total rectangles = C(4, 2) * C(4, 2) = 6 * 6 = 36.

Therefore, 36 rectangles can be formed.

Option A (16): This would be the number of intersection points (4x4) or the number of unit squares if it were a 3x3 grid. Option B (24): Incorrect calculation. Option C (36): Correct, as calculated above. Option D (42): Incorrect calculation.

The final answer is C