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Question

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 the length of the side of the chess board.

Solution
Verified by Toppr

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

Area of 64 squares = (x4)2

Therefore,
(x4)2=64×6.25
x28x+16=400
x28x384=0
x224x+16x384=0
(x24)(x+16)=0
x=24 cm

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