d Total area of the 64 small squares - math solution question
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Area Calculation MCQ 2 (Area of squares in a chess board given, width of border given, find area of chess board)

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Area Calculation MCQ 2: Total area of the 64 small squares of aches board is 400cm2. There is 3cm wide border around the chess board. What is the length of each side of the chess board

a) 17cm           b) 20cm                           c)  23cm                   d)  26cm

Solution: 

 

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As Area of 64 small squares ​\( = 400 cm^2 \)​

==> Area of one small square ​\( = \frac{400}{64}=6.25 cm^2 \)​

==> Side of one small square ​\( =2.5 cm \)​(taking sq. rt of 6.25)

As seen above, one side of the given area is made up of 8 small square !

==> One side of the given area​\( =2.5\times 8=20 cm \)​

From figure above;

Width of border is 3cm, so ;

Length of One side of chess board altogether ​\( 3+20+3=26 cm \)​

 

 

So the option d is correct !

 

 

 

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