MathBrush

Patchwork badges — orange and purple triangles, Figure n

A craft club stitches triangular patchwork badges. Each badge, Figure n, is a triangle made up of small orange and purple triangular pieces of felt. The table shows the piece counts for the first four figures. Figure | Orange pieces | Purple pieces | Total pieces 1 | 1 | 0 | 1 2 | 2 | 2 | 4 3 | 3 | 6 | 9 4 | 4 | 12 | 16 (a) Find the number of orange pieces and purple pieces in Figure 5. (b) Find the total number of pieces in Figure 40. (c) Find the percentage of pieces in Figure 40 that are purple.

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