Question

area of 64squares on chessboard​

Answer 1

Answer:

Step-Total area of 64 small squares of a chessboard is 400 sqy

Answer 2

Answer:

Here's your answer

Step-by-step explanation:

Let the length of the side of a chessboard be x cm.

Area of 1 square in chessboard= 6.25 cm²

area of 64 squares= 64 × 6.25

Area of 64 square = (x - 4)²

=> 64 × 6.25 = (x - 4)²

=> 400 = (x - 4)²

=> 400 = x² + 4² -2×x×4

=> [(a-b)²= a²+b² -2ab]

=> 400 = x² +16 - 8x

=> 400 - 16 = x²+ 16

=> 384 = x²+ 16

=> x² +16 - 384 = 0

=> x² - 24x +16x - 384= 0

=> x (x - 24) + 16 ( x - 24) = 0

=> (x - 24) (x + 16) = 0

=> (x - 24) = 0  or  (x + 16) = 0

=> x = 24  or   x= -16

Length can't be negative, so x = 24.

Hence the Length of the side of the chess board = 24 cm.

I hope this helps you .