Question

What is your take- score will rise due to larger area or number of rectangles formed?

Answer 1

25(this Sequence contains squares of 1, 2, 3 &4 so next is square of 5

please mark me branliset please

Answer 2

Answer:

example :

Number of squares in a n x n Chessboard: 1^2 +2^2 +...+ n^2  or [n x (n+1)x(2n+1)]/6        

Rectangles:

For an n x n chessboard, there are 1^3 + 2^3 + 3^3+...+ n^3 rectangles.

So for an 8 x 8 chessboard, there are, rectangles = 1^3 + 2^3+..+ 8^3

=> no. of rectangles = [{n^2}x{(n+1)^2}]/4

n=8, we get no. of rectangles = 1296

No. of rectangles that are not squares in an 8 x 8 chessboard

=> 1296 - 204

= 1092

Likewise, it goes for 7 x 7, 6 x 6, 5 x 5, 4 x 4 or any other n x n matrix.

Step-by-step explanation:

tnk u  :)