[email protected] wrote:Q: A rectangular floor is to be covered with square tiles, such that the no square tiles
Overlap each other. Is 150 tiles enough to cover the floor?
A: The perimeter of each tile is 4
B: The perimeter of rectangle is 50
We should recognize that, to answer the target question, we need information about the area of each tile and the area of the floor.
As such, we can quickly see that each statement alone is insufficient. This means the answer is either
C or
E.
Now let's combine the statements.
Statements 1 & 2:
From statement 1, we know that each square tile has dimensions 1x1
Statement 2 allows us to consider (at least) two cases:
case a: the floor has dimensions 24x1, in which case, we would need 24 tiles to cover the floor.
In this case, the answer to the target question is
YES, 150 tiles is enough to cover the floor.
case b: the floor has dimensions 12.5x12.5, in which case, we would need 169 tiles to cover the floor.
Aside: We would need 13 tiles to cover the width of the floor and 13 tiles to cover the length of the floor. So, the total number of tiles required would equal 169 (13x13=169)
In this case, the answer to the target question is
NO, 150 tiles is not enough to cover the floor.
Since we cannot answer the target question with certainty, the answer is
E.
Cheers,
Brent
