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Question 1138677: Painting a Bedroom
The walls and ceiling inside your bedroom need to be painted. To save money, you decide that you will paint the bedroom yourself. Use the following information to solve this problem:
• The bedroom is 17 feet long by 18 feet wide, and the ceiling is 9 feet high.
• The inside of the bedroom door will be painted the same color as the walls.
• Two coats of paint will be applied to all of the painted surfaces.
• The room has one window, measuring 3 feet, 9 inches by 4 feet, which will not be painted.
3. List the facts that you know. First, find the room dimensions in feet that make a good model for this situation. One strategy would be to sketch the room as follows. Please use this model to complete the following table below. (3 points)
• 17 feet long by 18 feet wide, and the ceiling is 9 feet high.
Side Answers
Length
17L
Width
18W
Height
9F
4. Using the measurements diagrammed above, label all of the rectangular faces in feet in the following table: (5 points)
Face Dimensions
Ceiling
?
?
Face Dimensions
Left Wall
?
?
Right Wall
?
?
Face Dimensions
Front Wall
?
?
Back Wall
?
?
5. Because all of the ending values are given in feet, find the window dimensions in feet. Convert the length of 3 feet, 9 inches strictly into feet. The answer should be in decimal format. Do not round. Note that 12 inches are equal to 1 foot.
Face Dimensions
Window
?
?
Show your work here: (5 points)
Pólya’s Principle Step 2: Devise a Plan
6. Using Pólya’s technique for problem solving, describe your plan to solve this problem in detail. In other words, what is your solution strategy? Discuss the strategy, steps, formulas, and procedures that you will use to answer this problem.
Pólya’s Principle Step 3: Carry out the Plan
7. Using the formula concepts and dimensions above, find the bedroom’s total painted surface area for all of the walls.
Show all of the calculations step by step, including the units of measurement, and round your final answer up to the nearest whole measurement unit in the following table:
8. Do not forget to subtract the window’s area. Also, determine the surface area for two coats by doubling the painted wall’s surface area.
Show all of the calculations step by step, including the units of measurement, and round your final answers up to the nearest whole measurement unit in the following table:
9. Using the formulas, concepts, and dimensions above, find the ceiling’s painted surface area, including the surface areas for one and two coats.
Show all of the calculations step by step, including the units of measurement, and round your final answers up to the nearest whole measurement unit in the following table:
10. Combining the answers from above, find the total painted surface area, including both coats for the walls and ceiling.
Show all of the calculations step by step, including the units of measurement, and round your final answer up to the nearest whole measurement unit in the following table:
11. Assuming that you can paint 100 square feet per hour, what will be the work time needed to paint your bedroom?
Show all of the calculations step by step, including the units of measurement, and round your final answer off to the nearest whole hour amount in the following table:
Pólya’s Principle Step 4: Take a Look Back
12. Did this strategy actually solve the problem? How do you know? Demonstrate that your solution is correct. In other words, explain why the values that you have created are the best times for the job. Was this the best way to solve this problem? If you had to do this again, what would you do differently? What would you do the same? Show your work here:
Answer by josgarithmetic(39617)   (Show Source):
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