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2-70.
  1. Examine the tile pattern at below. Homework Help ✎
    tile pattern

    1. On graph paper, draw Figures 4 and 5.

    2. What would Figure 10 look like? How many tiles would it have? What about Figure 100?

    3. Cami has a different tile pattern. She decided to represent the number of tiles of her pattern in a table, as shown below. Can you use the table to predict how many tiles would be in Figure 5 of her tile pattern? How many tiles would Figure 8 have? Explain how you know.

      Figure Number

      1

      2

      3

      4

      Number of Tiles

      5

      9

      13

      17

Figure 1 is a 2-by-2 square
Figure 2 is a 3-by-3 square
Figure 3 is a 4-by-4 square.
That means Figure x should be a (x + 1)-by-(x + 1) square.

Refer to part (a)'s hint.

Figure 10: An 11-by-11 square that would have 121 tiles.
Can you use the pattern to find what Figure 100 would look like?

Find the pattern in the chart.