How many numbers of triangles and parallelograms are there in the given figure respectively?

No. of triangles: - 1 unit triangles

   $\to$ 1, 5, 10, 12, 15, 16 $\to$

$\to (\text{7},\text{ 16})(\text{8},\text{ 15})(16,3)(15,13),(15,16)\to 5$2 unit triangles

3 unit triangles

$\to$$(2,3,16)(15,13,14)(6,7,16)(9,8,15),(12,11,10),(1,4,5)$$\to$6

4 unit triangles

$\to (4,3,7,16)(8,11,13,15),(3,13,16,15),(15,16,7,8)\to 4$

6 unit triangles

$\to (6,7,15,16,8,9)(2,3,15,16,13,14)\to 2$

8 Unit triangles

$\to (4,3,7,15,16,8,11,13)\to 1$

Total – 24

 No. of Parallelograms

1 Unit parallelograms: (4, 11) $\to$2

2 Unit parallelograms: $(1,2)(12,14)(5,6)(9,10)\to 4$

3 Unit parallelograms: $(5,4,3)(10,11,13)(1,4,7)(8,11,12)\to 4$

5 Unit parallelograms: $(1,4,7,5,6)(8,11,12,9,10)(1,2,3,4,5)(10,11,12,13,14)\to 4$

4 Unit parallelograms: $(5,6,9,10)$$\to$1

6 Unit parallelograms: $(1,4,7,5,8,11,12)\to 1$

10 Unit parallelograms: $(1,4,7,5,8,11,12,5,6,9,10)\to 1$

Total - 17