Concept explainers
Work each problem.
Patterns in Floor Tiling A square floor is to be tiled with square tiles as shown. There are blue tiles on the main diagonals and red tiles everywhere else. In all cases, both blue and red tiles must be used, and the two diagonals must have a common blue tile at the center of the floor.
(a) If 81 blue tiles will be used, how many red tiles will be needed?
(b) For what numbers in place of 81 would this problem still be solvable?
(c) Find an expression in k giving the number of red tiles required in general.
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