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Question

A chess board contains 64 equal squares and the area of each square is 6.25 cm2. A border around the board is 2 cm wide. Find the length of the side of the chess board.


A

36 cm

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B

24 cm

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C

16 cm

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D

32 cm

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Solution

The correct option is

A

24 cm




Let the length of the side of the chess board be x cm
Then, Area of 64 squares =(x4)2
(x4)2=64×6.25
x28x+16=400
x28x384=0
x224x+16x384=0
(x24)(x+16)=0x=24 cm.

(Neglect x=16 as length can not be negative.)


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