Examine the tile pattern below. Homework Help ✎
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.
Number of Tiles