Question

Question 57 The area of each square on a chess board is 4 sq cm. Find the area of the board. (a) At the beginning of game when all the chess men are put on the board, write area of the squares left unoccupied. (b) Find the area of the squares occupied by chess men.

Solution

Given, area of each square on a chess board = 4 sq cm We know that, there are 64 squares on a chess board. ∴ Area of the chess board = Area of 64 squares on a chess board      = 64×Area of 1 square on a chess board      = 64×4 sq cm      = 256 sq cm (a) We know that, there are 32 chess men at the beginning of game. ∴ Number of squares occupies by 32 chess men       = 32 and Number of squares left unoccupied       = Total number of squares - 32       = 64 - 32       = 32 So, area of squares left unoccupied = 32×Area of a square                                                           = 32×4                                                           = 128 sq cm (b) Area of squares occupied by 32 chess men         = 32×Area of a square        = 32×4        = 128 sq cm

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