The walls and ceiling inside your bedroom need to be painted. To save money, you decide...

 
 

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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. 1. Pólya's Principle Step 1: Understand the Problem a. Describe in detail what you understand the problem to be. In other words, what problem will you need to solve? Is there enough information to enable you to find a solution to your problem? Show your work here: (10 points) b. Discuss different ways to construct the room that will be painted. Are there any restrictions on where the window and door will be located? Will the overall amount of paint that is needed change based on where these are placed in the room? Show your work here: (10 points) c. 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) B Length Width Height # Side Answers ? ? ? d. Using the measurements diagrammed above, label all of the rectangular faces in feet in the following table: (5 points) Ceiling Left Wall Right Wall Front Wall Back Wall Window Face Dimensions Show your work here: (5 points) ? Face Dimensions ? ? Face Dimensions ? ? Face Dimensions ? ? ? e. 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. ? ? ? ? 2. Pólya's Principle Step 2: Devise a Plan a. 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. Show your work here: (10 points) 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. 1. Pólya's Principle Step 1: Understand the Problem a. Describe in detail what you understand the problem to be. In other words, what problem will you need to solve? Is there enough information to enable you to find a solution to your problem? Show your work here: (10 points) b. Discuss different ways to construct the room that will be painted. Are there any restrictions on where the window and door will be located? Will the overall amount of paint that is needed change based on where these are placed in the room? Show your work here: (10 points) c. 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) B Length Width Height # Side Answers ? ? ? d. Using the measurements diagrammed above, label all of the rectangular faces in feet in the following table: (5 points) Ceiling Left Wall Right Wall Front Wall Back Wall Window Face Dimensions Show your work here: (5 points) ? Face Dimensions ? ? Face Dimensions ? ? Face Dimensions ? ? ? e. 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. ? ? ? ? 2. Pólya's Principle Step 2: Devise a Plan a. 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. Show your work here: (10 points)