Nwmsy opez THE SQUARE PATIO COMPANY PART 1 Your company sells kits for DIY (Do It Yourself) patios, Each patio set is square a nd requires specific components. Below is a picture of a 3 x 3 patio. 12 The square tiles are 1 square foot in size. Frame pieces surround each tile and are 1 foot in length. Corner pieces hold the framestogether. Border stabilizers go on the outside edges only. square Tile (centersquares) Foat Frame (rectangle with diagonal lines) I fod+ - 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 size Draw a model for a 1 x 1,2 x 2, and 3 x 3 sized patio. Make a table showing the number ofeach component needed to each patio. Write a formula for each component that can be used to determine the numbers needed for larger 1. 2. 3. 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 (2 x 2) to guide your thinking. This patio has 16 tiles, 2 13 corners pieces, 8 border pie ces, 12 long frames and 16 short frames (the legs of the right triangles). How many pieces are 13 14 10 needed for a 4 x4 patio? How many pieces are needed for a 5 x 5 patio? 16 42 T
Nwmsy opez THE SQUARE PATIO COMPANY PART 1 Your company sells kits for DIY (Do It Yourself) patios, Each patio set is square a nd requires specific components. Below is a picture of a 3 x 3 patio. 12 The square tiles are 1 square foot in size. Frame pieces surround each tile and are 1 foot in length. Corner pieces hold the framestogether. Border stabilizers go on the outside edges only. square Tile (centersquares) Foat Frame (rectangle with diagonal lines) I fod+ - 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 size Draw a model for a 1 x 1,2 x 2, and 3 x 3 sized patio. Make a table showing the number ofeach component needed to each patio. Write a formula for each component that can be used to determine the numbers needed for larger 1. 2. 3. 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 (2 x 2) to guide your thinking. This patio has 16 tiles, 2 13 corners pieces, 8 border pie ces, 12 long frames and 16 short frames (the legs of the right triangles). How many pieces are 13 14 10 needed for a 4 x4 patio? How many pieces are needed for a 5 x 5 patio? 16 42 T
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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How can I figure the formulas for each component ?
Transcribed Image Text:Nwmsy opez
THE SQUARE PATIO COMPANY
PART 1 Your company sells kits for DIY (Do It Yourself) patios, Each patio set is square a nd requires specific
components. Below is a picture of a 3 x 3 patio.
12
The square tiles are 1 square foot in size.
Frame pieces surround each tile and are 1 foot in length.
Corner pieces hold the framestogether.
Border stabilizers go on the outside edges only.
square
Tile (centersquares)
Foat
Frame (rectangle with
diagonal lines)
I fod+
- 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 size
Draw a model for a 1 x 1,2 x 2, and 3 x 3 sized patio.
Make a table showing the number ofeach component needed to each patio.
Write a formula for each component that can be used to determine the numbers needed for larger
1.
2.
3.
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 (2 x 2) to guide your thinking. This patio has 16 tiles,
2
13 corners pieces, 8 border pie ces, 12 long frames and 16 short
frames (the legs of the right triangles). How many pieces are
13
14 10
needed for a 4 x4 patio? How many pieces are needed for a
5 x 5 patio?
16
42
T
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