Question

A chess board contains 64 equal squares and the area of each square is 6.25cm2 . A border round the board is 2cm wide. Find the length of side of the chess board.

Answer 1

side length of the square board= x
Area of one square in the chess board = 6.25 cm²
Area of 64 squares = 64 x 62.5
(x – 4)² = 400      
 (x – 4)  = √400
 (x – 4)  = √20 x 20
x – 4 = 20
x = 20 + 4
x = 24 cm 

Answer 2

Given : A chess board contains 64 equal squares and the area of each square is 6.25cm². A border round the board is 2cm wide.

To find : The length of side of the chess board.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the length of the side of the chess board)

One side of chess board has :

= √(Total number of squares)

= √64

= 8 equal squares

Length of each side of a square :

= √(Area of a square)

= √6.25

= 2.5 cm

So, length of each side of the chess board :

= (length of each side of a square × 8) + (width of the border × 2)

= (2.5 × 8) + (2 × 2)

= 20 + 4

= 24 cm

(This will be considered as the final result.)

Hence, the length of each side of the chess board is 24 cm.