SOLUTION: Rosalinda makes square tables then sticks square tiles to the top. There are three kinds of tiles used: whole tiles, half tiles, and quarter tiles. The sizes of the square tableto

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Question 836587: Rosalinda makes square tables then sticks square tiles to the top. There are three kinds of tiles used: whole tiles, half tiles, and quarter tiles. The sizes of the square tabletops are all multiples of 10 cm. The diagonal of the square tile measures 10 cm. Rosalinda only and always uses quarter tiles in the corners and half tiles along the edges of the table.
1. What does the table top look like if she uses no half tiles? How many of each tile are used? How many total tiles would Rosalinda need to order to make this table? What are the dimensions of this table top? What is the area?
2. What does the table top look like if she uses the least amount of half tiles possible? How many of each tile are used? How many total tiles would Rosalinda need to order to make this table? What are the dimensions of this table top? What is the area?
3. What does the next sized table top look like? How many of each tile are used? How many total tiles would Rosalinda need to order to make this table? What are the dimensions of this table top? What is the area?
4. What does a 1600 square cm table top look like? How many of each tile are used? How many total tiles would Rosalinda need to order to make this table?
5. What patterns can you find? Think about polynomials and exponents.
6. What formulas can you use to quickly calculate the number of whole tiles and half tiles needed for larger table tops?
7. Use that formula to calculate how many of each tile are used for 320 cm x 320 cm table top.
Extra Credit (worth 1 point): What is the length of a whole tile?
Answer by psbhowmick(878) (Show Source):
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