Area of each square on chess board = 4 sq cm. Find total area.
Total = 256 cm²
(a) 192 cm²
(b) 64 cm²
Understand the board:
A chessboard has 8 rows and 8 columns.
Number of squares = \(8 \times 8\)
\(8 \times 8 = 64\) squares
Area of one square:
Given: area of each square = \(4\,\text{cm}^2\)
Total area of the chessboard:
Total area = (number of squares) \(\times\) (area of one square)
\(64 \times 4\)
\(= 256\,\text{cm}^2\)
Area occupied by pieces:
(As used here) number of pieces on the board = \(16\)
Each piece covers exactly one square \(\Rightarrow\) area covered by one piece = area of one square
Occupied area = \(16 \times 4\)
\(= 64\,\text{cm}^2\)
Area left unoccupied:
Unoccupied area = (total area) \(-\) (occupied area)
\(256 - 64\)
\(= 192\,\text{cm}^2\)