# 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

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For part 2How and what are the formulas for the triangle patio kits?

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Step 1

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

Step 2

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

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