1) Find maximum how many regions can be divided by 11 lines.

2) Find maximum how many open regions can be created by nine lines in a plane.

3) Find the maximum closed area inside a square created by 15 lines.

4) 4 lines divide a square of side 5 cm into equal area parts. Find the perimeter of each part.
(a) 12 cm    (b) 14 cm    (c) 5 cm    (d) Cannot be determined

5) Maximum how many closed regions would be created by 8 lines.

6) In a plane, there are 10 lines: 5 are parallel and the other 5 are parallel to each other but not to the first set. Find max regions created.

7) 15 lines in a plane: 5 parallel to each other in 3 different sets. Max number of regions?

8) 15 lines: 5 parallel, 5 parallel (not to the first), and 5 not parallel to each other or other sets. Max regions?

9) Minimum number of identical squares to completely cover a \(16 \times 12\) rectangle.

10) Minimum number of squares (not necessarily identical) to completely cover a \(16 \times 12\) rectangle.

11) Minimum identical equilateral triangles needed to completely cover a \(18 \times 14\) parallelogram.

12) Minimum number of equilateral triangles (could be different) to cover a \(18 \times 14\) parallelogram.