Whimsical 23: Math lovers

 We are building a strong connection with Math. We encounter this problem:

The difference in area of squares A and B is 95. What is the perimeter of this shape?

I ask you to solve this. In an instant, you start: The possible area of A and B could be 1, 4, 9, 16, 25, 36, 49, 64, 81, 100. Then you go, what is 11x11? I help here - its 121. Then you keep asking the square of 12, 13, 14, 15. I keep answering 144, 169, 196, 225. You have written them down in vertical

1

4

9

16

25

36

49

64

81

100

121

132

144

169

196

225

Then you lookout for the pair of numbers in the list with a difference of 95. Its 49 and 144. So we decide that the length of sides in square A is 12 and those of square B is 7. Well, finding the perimeter after this is quite easy.

As we have computed the difference, I draw your attention to the pattern between the subsequent pairs of the squares. 

3

5

7

9

11

13

15

17

19

21

23

25

27

29

I beam in pride, as if I have discovered this relationship. There's an euphoric mood between us. And you declare:

Yes, ma. It makes sense and immediately draw this:

And tell me, "See! Everytime the sides increase by 1 unit, there's an additional unit to the side. See see". Yes, it does!

Math is beautiful. The world is beautiful.