Question

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

• A. $8cm$
• B. $24cm$
• C. $12cm$
• D. $16cm$

Answer 1

The correct option is B $24cm$

Given that,

Total Number of Squares $=64$

Area of each square $=6.25c{m}^2$

Let side of each square be $x$

$\Rightarrow x^2=6.25$

$\Rightarrow x=2.5cm$

Border width $=2cm$

Along each side, total $8$ squares are present

$\therefore$ Length of Chess-Board $=2\times 2cm+8\times 2.5cm$

$=24cm$