The 9 horizontal and 9 vertical lines on an 8×8 chess board form r rectangles (excluding squares) and s squares. The ratio sr in its lowest terms is:

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answer is 0000.18.

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Detailed Solution

No. of squares are S=12+22+32+……..+82=8(9)(17)6=204 No. of rectangles r= 9C2⋅9C2−204=1092 Hence, sr=2041092=1791

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