A rectangular floor is fully covered with square tiles of identical size. The tiles on the edges are white and the tiles in the interior are red. The number of white tiles is the same as the number of red tiles. A possible

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Solution

The correct option is C 12
Let the inner rectangle have x tiles in column and y tiles in a row that is rectangle of xy, so red tiles =xy
The white tiles=(x+2)12+y12)=2x+4+2y
So 2x+2y+4=xy.........
2x+4=xy-2y=y(x-2)..........
y=2x+4x−2..
Now x will be 2 less than the value we are looking for and y should be an integer.
Let us see..
12.....x=10, so y=(210+4)/(10-2)=24/8=3

answer:12

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