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

Examine the tile pattern below.

tile | tile |

tile | tile |

Figure 1

tile | tile | tile |

tile | tile | tile |

tile | tile | tile |

Figure 2

tile | tile | tile | tile |

tile | tile | tile | tile |

tile | tile | tile | tile |

tile | tile | tile | tile |

Figure 3

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.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?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 |