Question

5.1: Missing Figures Ship Here are the second and fourth figures in a pattern. ? ? figure 1 figure 2 figure 3 figure 4 1. What do you think the first and third figures in the pattern look like? 2. Describe the 10th figure in the pattern.

Answer 1

ANSWER

0. The first figure has, 2 blue tiles and 3 yellow tiles

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1. The third figure has ,6 blue tile and 9 yellow tiles

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2. The 10th figure in the pattern has ,20 blue tiles and 30 yellow tiles

EXPLANATION

From the question,

The 2nd figure has 4 blue and 6 yellow tiles, and

The 4th figure has 8 blue and 12 yellow tiles

This shows that there is a relationship between the figures which is:

2 blue and 3 yellow tiles.

That is:

1st figure = 1 x (2 blue and 3 yellow tiles) = 2 blue and 3 yellow tiles

2nd figure = 2 x (2 blue and 3 yellow tiles) = 4 blue and 6 yellow tiles.

3rd figure = 3 x (2 blue and 3 yellow tiles) = 6 blue and 9 yellow tiles.

4th figure = 4 x (2 blue and 3 yellow tiles) = 8 blue and 12 yellow tiles.

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10th figure = 10 x (2 blue and 3 yellow tiles) = 20 blue and 30 yellow tiles.