Questions & Answers

Question

Answers

$

A)\,8cm \\

B)\,24cm \\

C)\,12cm \\

D)\,16cm \\

$

Answer
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The chess board contains $64$ equal squares. We know that the overall shape of the chess board is also a square.

Therefore, the chess board has $8 \times 8$ small squares.

It is mentioned in the question that the area of each small square is $6.25c{m^2}$.

We know that the area of a square is equal to the square of its side length

${\left( {side} \right)^2} = area$

$side\,length = \sqrt {area} $

$\therefore $ The side length of each of the small squares is equal to the square root of its area

$side = \sqrt {6.25} $

$side = 2.5cm$ $ \to \left( 1 \right)$

Now, it is also given that the chess board has a border in width $2cm$

Therefore, the side length of the whole chess board will be equal to the sum of length of small squares on one side and the width of the border on the two sides.

$Total\,length = 8 \times length\,of\,one\,small\,square + 2 \times width\,of\,the\,\,border$

$Total\,length = 8 \times 2.5 + 2 \times 2$

$Total\,length = 20 + 4 = 24cm$