Question

# A chess-board contains $$64$$ equal squares and the area of each square is $$6.25 cm^2$$. And inside border around the board is $$2$$ cm. wide. The length of the chess-board is

A
8cm
B
24cm
C
12cm
D
16cm

Solution

## The correct option is B $$24 cm$$Given that,Total Number of Squares $$= 64$$Area of each square $$= 6.25cm^{2}$$Let side of each square be $$x$$$$\Rightarrow x^{2} = 6.25$$$$\Rightarrow x = 2.5 cm$$Border width $$= 2cm$$Along each side, total $$8$$ squares are present$$\therefore$$ Length of Chess-Board $$= 2\times2cm + 8\times2.5cm$$                                            $$= 24 cm$$Mathematics

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