Total area of 64 small squares of a chessboard is 400 sq. cm. There is 3 cm wide border around the chess board. What is the length of the side of the chess board ?

Solution (By Examveda Team)

Area of each square :
$$\eqalign{ & = \left( {\frac{{400}}{{64}}} \right)c{m^2} \cr & = 6.25\,c{m^2} \cr} $$
Side of each small square :
$$\eqalign{ & = \sqrt {6.25} \,cm \cr & = 2.5\,cm \cr} $$
Since there are 8 squares along each side of the chess board, we have :
Side = [(8 × 2.5) + 6] cm
        = 26 cm