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Home > CCA > Chapter A > Lesson A.1.7 > Problem A-73

A-73.

Examine the tile pattern at right. Homework Help ✎

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

    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.

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

    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?

tile pattern

  1. Cami has a different tile pattern. She decided to represent the number of tiles in 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.

    Find the pattern in the chart.

 Figure Number

1

2

3

4

 Number of Tiles

5

9

13

17