Question

Find the length of the side of an individual square box of a chessboard whose area is $576$ square units.

• A. $3$
• B. $8$
• C. $9$
• D. $24$

Answer 1

The correct option is A

$3$

$\text{Given,}$
$\text{Total area of the chessboard}$ $=576$
$\text{square units}$
$\text{A chessboard contains}$$8\times 8$ $\text{square}$ $\text{boxes.}$
$\therefore \text{Total numbers of square boxes in}$
$\text{a chessboard}=64$

$\text{Area of one square box can be found}$
$\text{using the formula,}$

$\text{Area}=\frac{\text{Total area of the chessboard}}{\text{Number of square boxes}}$

$\text{Putting the values in the above}$
$\text{formula we get,}$

$\text{Area =}\frac{576}{64}$

$\therefore$$\text{Area of one square box = 9 square}$ $\text{units}$

$\text{We know area of a square =}{\text{(side)}}^2$
$\therefore {\text{(side)}}^2=9\text{square units}$

$\Rightarrow \text{side =}$ $\sqrt{9}$
$\Rightarrow \text{side =}$ $\text{3 units}$

$\therefore \text{The length of the side of an}$
$\text{individual square box is 3 units.}$