2isqvareFaatTile (centersquares)Frame (rectangle withdiagonal lines)footCorner(black square)- Border(grey rectangle)To package the kits, you need to know how many of each component are needed for a patio of any given si1. Draw a model for a 1 x 12 x 2, and 3 x3 sized patio.2. Make a table showing the number ofeach component needed to each patio.3. Write a formula for each component that can be used to determine the numbers needed for largepatios.Use the formulas to find the number of component needed for a 4 x 4 and a 5 x 5 patio kit.4.PART 2 Suppose that you also sell patio kits made fromtriangles. Repeat the problem above using the picture onthe right (2x 2) to guide your thinking. This patio has 16 tiles,13 corners pie ces, 8 border pieces, 12 long frames and 16 shortframes (the legs of the right triangles). How many pieces areneeded for a 4 x4 patio? How many pieces are needed for a5 x 5 patio?5

Question
Asked Aug 26, 2019
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For part 2How and what are the formulas for the triangle patio kits?

2
isqvare
Faat
Tile (centersquares)
Frame (rectangle with
diagonal lines)
foot
Corner(black square)
- Border(grey rectangle)
To package the kits, you need to know how many of each component are needed for a patio of any given si
1. Draw a model for a 1 x 12 x 2, and 3 x3 sized patio.
2. Make a table showing the number ofeach component needed to each patio.
3. Write a formula for each component that can be used to determine the numbers needed for large
patios.
Use the formulas to find the number of component needed for a 4 x 4 and a 5 x 5 patio kit.
4.
PART 2 Suppose that you also sell patio kits made from
triangles. Repeat the problem above using the picture on
the right (2x 2) to guide your thinking. This patio has 16 tiles,
13 corners pie ces, 8 border pieces, 12 long frames and 16 short
frames (the legs of the right triangles). How many pieces are
needed for a 4 x4 patio? How many pieces are needed for a
5 x 5 patio?
5
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2 isqvare Faat Tile (centersquares) Frame (rectangle with diagonal lines) foot Corner(black square) - Border(grey rectangle) To package the kits, you need to know how many of each component are needed for a patio of any given si 1. Draw a model for a 1 x 12 x 2, and 3 x3 sized patio. 2. Make a table showing the number ofeach component needed to each patio. 3. Write a formula for each component that can be used to determine the numbers needed for large patios. Use the formulas to find the number of component needed for a 4 x 4 and a 5 x 5 patio kit. 4. PART 2 Suppose that you also sell patio kits made from triangles. Repeat the problem above using the picture on the right (2x 2) to guide your thinking. This patio has 16 tiles, 13 corners pie ces, 8 border pieces, 12 long frames and 16 short frames (the legs of the right triangles). How many pieces are needed for a 4 x4 patio? How many pieces are needed for a 5 x 5 patio? 5

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Expert Answer

Step 1

We can derive the formula from the given figure in Part 2.

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Step 2

For a 2x2 patio, the components “corner pieces”, “Border pieces”, “L...

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