Figure 1 shows a tile in the form of a trapezium, where . Several copies of the tile are placed together to form a symmetrical pattern, part of which is shown in Figure 2. The outer border of the complete pattern is a regular ‘star polygon’. Figure 3 shows an example of a regular ‘star polygon’.
How many tiles are there in the complete pattern?
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10 - 3\sqrt{11}
8 - 3\sqrt{7}
5 - 2\sqrt{6}
9 - 4\sqrt{5}
7 - 4\sqrt{3}
Select an option, then submit.
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