1) ) Submit a scale drawing of your design on a piece of standard graph paper, with 1 box on the graph paper representing 2 feet. Include the outdoor carpet and the table on your scale drawing. 2) WOOD: STAIN: s) Submit calculations showing the total amount of wood that you need and the total amount or stain you need. Total Pieces of Wood: Total Gallons of Stain: 3): Submit calculations for the total cost of your project, including tax. Make sure that your calculations are organized and easy to follow. Total Before Tax: Tax: Final Total Cost:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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You are designing and building a deck in the backyard of your house. This deck must meet the following
conditions:
It must be a rectangle with a length to width ratio somewhere between 1.25:1 and 2:1 inclusive
("inclusive" means it can be right on 1.25 or 2... think 1.25 <l/w ratio < 2)
. Each piece of wood purchased to build the deck is 6 inches wide and 12 feet long. You will leave
½ inch of space between each board. These pieces can be cut into shorter lengths to fit the
design of the deck.
•
•
•
The wood on the deck needs to be stained to protect it from the weather. A gallon of stain costs
$19.99 and covers 100 square feet of area. You cannot buy a partial gallon of stain; it must be
purchased by the gallon.
Each piece of wood costs $7.99.
All of the nails, screws and brackets that you need for the deck cost $12.99.
The deck is just off of the ground, so no railing is needed.
• The final product will have exposed wood and an outdoor carpet. The area of the outdoor
carpet must be % of the total area of the deck. You will stain the entire deck before placing the
carpet on it.
• The outdoor carpet costs $1.50 per square foot.
On the carpet will be a table and 4 chairs. The table costs $250 and each chair costs $40.
Tax for your purchases is 8%.
.
.
Transcribed Image Text:You are designing and building a deck in the backyard of your house. This deck must meet the following conditions: It must be a rectangle with a length to width ratio somewhere between 1.25:1 and 2:1 inclusive ("inclusive" means it can be right on 1.25 or 2... think 1.25 <l/w ratio < 2) . Each piece of wood purchased to build the deck is 6 inches wide and 12 feet long. You will leave ½ inch of space between each board. These pieces can be cut into shorter lengths to fit the design of the deck. • • • The wood on the deck needs to be stained to protect it from the weather. A gallon of stain costs $19.99 and covers 100 square feet of area. You cannot buy a partial gallon of stain; it must be purchased by the gallon. Each piece of wood costs $7.99. All of the nails, screws and brackets that you need for the deck cost $12.99. The deck is just off of the ground, so no railing is needed. • The final product will have exposed wood and an outdoor carpet. The area of the outdoor carpet must be % of the total area of the deck. You will stain the entire deck before placing the carpet on it. • The outdoor carpet costs $1.50 per square foot. On the carpet will be a table and 4 chairs. The table costs $250 and each chair costs $40. Tax for your purchases is 8%. . .
1)
) Submit a scale drawing of your design on a piece of standard graph paper, with 1 box
on the graph paper representing 2 feet. Include the outdoor carpet and the table on your scale
drawing.
2)
WOOD:
STAIN:
s) Submit calculations showing the total amount of wood that you need and the total
amount or stain you need.
Total Pieces of Wood:
Total Gallons of Stain:
3):
Submit calculations for the total cost of your project, including tax. Make sure that
your calculations are organized and easy to follow.
Total Before Tax:
Tax:
Final Total Cost:
Transcribed Image Text:1) ) Submit a scale drawing of your design on a piece of standard graph paper, with 1 box on the graph paper representing 2 feet. Include the outdoor carpet and the table on your scale drawing. 2) WOOD: STAIN: s) Submit calculations showing the total amount of wood that you need and the total amount or stain you need. Total Pieces of Wood: Total Gallons of Stain: 3): Submit calculations for the total cost of your project, including tax. Make sure that your calculations are organized and easy to follow. Total Before Tax: Tax: Final Total Cost:
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