The area of each square of a chessboard having 64 equal square is 8 sq. cm. If there is a board around the board is 2 cm wide, then perimeter of the chessboard is:
Answer & explanation
Correct answer: option 2
Area of one square on chessboard = 8 cm2
Area of the chessboard having 64 squares = 8 × 64 cm2
Side of chessboard = \(\sqrt {8 × 64}\) cm = 16\(\sqrt {2}\) cm
Now including border of 2 m:
Side of bigger square = 16\(\sqrt {2}\) + 4
Perimeter = 4 × (16\(\sqrt {2}\) + 4) cm
= 16 (4\(\sqrt {2}\) + 1) cm