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Home > CC3 > Chapter 2 > Lesson 2.1.7 > Problem 2-69

2-69.

Examine the tile pattern below. Homework Help ✎

tile pattern

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

    Figure 1 is a -by- square
    Figure 2 is a -by- square
    Figure 3 is a -by- square.
    That means Figure should be a -by- square.

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

    Refer to the Hint in part (a).

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

  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

    Find the pattern in the chart.