SOLUTION: A rectangular floor is completely covered with tiles whose size is 1 x 2. If the tiles are not cut and do not overlap, the size of the floor cannot be
(A) 4 x 9 (B) 8 x 8 (C) 11
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(A) 4 x 9 (B) 8 x 8 (C) 11
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Question 314835: A rectangular floor is completely covered with tiles whose size is 1 x 2. If the tiles are not cut and do not overlap, the size of the floor cannot be
(A) 4 x 9 (B) 8 x 8 (C) 11 x 7 (D) 16 x 5 (E) None of these Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! A rectangular floor is completely covered with tiles whose size is 1 x 2. If the tiles are not cut and do not overlap, the size of the floor cannot be
.
Since each tile has an area of:
1*2 = 2 square feet
The area of the rectangular floor has to be even divisible by 2.
The ONLY one that does not meet this criteria is
(C) 11 x 7
