Question

If there are 9 horizontal lines and 9 vertical lines in a chess board, how many rectangles can be formed in the chess board?

Answer 1

Sorry ,In a chess board we can form only squares.
About 8 Squares in one side
so,Totally 8×8
64 Squares can be formed

Answer 2

Answer:

The number of rectangles is 1296

Step-by-step explanation:

The number of horizontal lines = 9

The number of vertical lines = 9

Since two horizontal lines and two vertical lines are required to form the rectangle, the number of possible rectangles that can be formed out of 9 horizontal lines and 9 vertical lines is = $^9C_2$  × $^9C_2$

                         $=\frac{(9)(8)}{2!}$ × $\frac{(9)(8)}{2!}$

                         = 36 × 36

                         = 1296

Therefore the number of possible rectangles that can be formed out of 9 horizontal lines and 9 vertical lines is 1296