The total area of 64 small squares of a chessboard in 400 cm . If there is 4 cm wide border all along the chessboard, then find each side of the chessboard.
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Step-by-step explanation:
Let the length of the side of the chess board be x cm. Then,
Area of 64 squares = (x−4)
2
Therefore,
(x−4)
2
=64×6.25
x
2
−8x+16=400
x
2
−8x−384=0
x
2
−24x+16x−384=0
(x−24)(x+16)=0
x=24 cm
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