The 9 horizontal and 9 vertical lines on an 8x8 chessboard form r rectangle and s square the ratio s:r
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# Answer- s:r=4:27
# Solution-
No of squares in given n×n square grid is given by n(n+1)(2n+1)/6
For 8×8 n=8
No of squares =8×(8+1)×(2×8+1)/6
No of squares =8×9×16/6
No of squares =192
s=192
No of rectangles in given n×n square grid is given by [(n)(n+1)/2]^2
For 8×8 n=8
No of rectangles =[(n)(n+1)/2]^2
No of rectangles =[8×9/2]^2
No of rectangles =36^2
No of rectangles =1296
r=1296
We have to calculate
s:r=192:1296
s:r=4:27
# Solution-
No of squares in given n×n square grid is given by n(n+1)(2n+1)/6
For 8×8 n=8
No of squares =8×(8+1)×(2×8+1)/6
No of squares =8×9×16/6
No of squares =192
s=192
No of rectangles in given n×n square grid is given by [(n)(n+1)/2]^2
For 8×8 n=8
No of rectangles =[(n)(n+1)/2]^2
No of rectangles =[8×9/2]^2
No of rectangles =36^2
No of rectangles =1296
r=1296
We have to calculate
s:r=192:1296
s:r=4:27
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