MathBrush

Triangular mosaics — red and blue tiles in Figure n

A tiler is designing a set of triangular mosaic patterns for a lobby floor. Each pattern, Figure n, is a large triangle made up of small red and blue triangular tiles. The table shows the tile counts for the first four figures. Figure | Red tiles | Blue tiles | Total tiles 1 | 1 | 0 | 1 2 | 3 | 1 | 4 3 | 5 | 4 | 9 4 | 7 | 9 | 16 (a) Find the number of red tiles and blue tiles in Figure 5. (b) Find the total number of tiles in Figure 50. (c) Find the percentage of tiles in Figure 50 that are blue.

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