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A chess board contains 64 equal squares and the area of each square is 6.25 cm2. A border round the board is 2 cm wide find its side.

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Let the length of the side of the chess board be x cm. Then,

Area of 64 squares = (x – 4)2

(x – 4)2 = 64 x 6.25

⇒ x2 – 8x + 16 = 400

⇒ x2 – 8x - 384 = 0

⇒ x2 – 24x + 16x – 384 = 0

⇒ (x – 24)(x + 16) = 0

⇒ x = 24 cm

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