Leslie’s Garden Tiles
Leslie wants to build a square patio in her backyard made of 1 ft. by 1 ft. square tiles. The
border will be brown tiles and the inside will be white tiles, as shown in Figures 1 and 2.
Figure 1
Figure 2
1.
Draw Figures 3, 4, 5, and 6 on the graph paper above, continuing the pattern.
2.
Using your figures, complete the data table below. Describe any patterns in the data and
generalize those patterns found:
Figure
1
Inside Tiles
1
Outside Tiles
8
Total Tiles
9
2
3
4
5
6
N
50
100
3.
Leslie has space for 100 total tiles, arranged in a 10 ft. by 10 ft. square. How many white
and brown titles will Leslie need to buy? Support your answer with suitable working and
reasoning.
4.
The tiles cost $15 each. This week, white tiles are on sale for 20% off. A landscaper told
Leslie he could do the entire project for $1500, including labor and materials. By finding
the total cost of the project, evaluate whether or not Leslie should proceed with this
project on her own or hire the landscaper.