More Help Please
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More Help Please
When tiling the square wall of my kitchen, I use red and blue square tiles
all of the same size. In the pattern all the tiles are red apart from those on the two diagonals which are blue. If I use 37 blue tiles, how many red tiles are needed?
all of the same size. In the pattern all the tiles are red apart from those on the two diagonals which are blue. If I use 37 blue tiles, how many red tiles are needed?
Its square
the blue tiles are in the diagonals
there are an odd number of blue tiles so the center tile is shared.
the number of tiles in a diagonal is the same as the number of tiles in an edge.
so (37 +1)/2 will give us the length of an edge (+1 for shared tile)
so length of edge is 19 tiles
19x19= 361 total tiles
red tiles = 361-37 = 324 tiles
the blue tiles are in the diagonals
there are an odd number of blue tiles so the center tile is shared.
the number of tiles in a diagonal is the same as the number of tiles in an edge.
so (37 +1)/2 will give us the length of an edge (+1 for shared tile)
so length of edge is 19 tiles
19x19= 361 total tiles
red tiles = 361-37 = 324 tiles