Question

The walls and ceiling in your bedroom need to be painted, and the painters’ estimates to do the work are far too expensive. You decide that you will paint the bedroom yourself. Below is the information to help you solve the problem:
• The bedroom is 17 ft., 3 in. long by 18 ft. wide, and the ceiling is 9 ft. high.
• The color of paint you have selected for the walls covers 84 square feet per gallon and costs $31.50 per gallon.
• The inside of the bedroom door is to be painted the same color as the walls.
• The ceiling will be painted with a bright white ceiling paint that costs $27.50 per gallon but only covers 73 sq. ft. per gallon.
• Two coats of paint will be applied to all painted surfaces.
• The room has one window, measuring 3 ft., 3 in. by 4 ft., which will not be painted.

1. Because different paint lots of the same color may appear slightly different in color, when painting a room, you should buy all of your paint at one time and intermix the paint from at least two different cans so that the walls will all be exactly the same color. Because all ending values are given in feet, first find the room dimensions in feet that make a good model for this situation.

ANSWERS
LENGTH ft.
WIDTH ft.
HEIGHT ft.

Explain your answer here:




2. Using the measurements found above, label the sides in feet here:













                                                      
3. Using the formula concepts and dimensions from above, find the bedroom’s total painted surface area around all of the walls, including both coats. Do not forget to subtract the window’s area. Also, double the paint to account for two coats.

Show all step-by-step calculations, including the units of measurement, and round your final answers to the nearest whole measurement unit:

ANSWER
Total painted wall surface area

Explain your answer here:




4. Using the formula concepts and dimensions from above, find the ceiling’s total painted surface area, including both coats.

Show all step-by-step calculations, including the units of measurement, and round your final answers to the nearest whole measurement unit:

ANSWER
Total painted ceiling surface area

Explain your answer here:






5. Describe and discuss the strategy, steps, formulas, and procedures for how you will use Polya’s problem-solving techniques to determine how much it will cost to paint this bedroom with two coats of paint (on all walls and the ceiling).

Explain your answer here:






6. Find, individually and as a total, how much it will cost to paint this bedroom with two coats of paint (on all walls and the ceiling).

Show all step-by-step calculations, including the units of measurement, and round your final answers to the nearest whole dollar amount:

ANSWERS
Total cost painted wall surface area
Total cost ceiling surface area
Overall total cost of paint

Explain your answer here:





7. Assuming you can paint 100 sq. ft. per hour, what will be the work time needed to paint your bedroom?

Show all step-by-step calculations, including the units of measurement, and round your final answers to the nearest whole hour amount:

ANSWERS
Total painting time

Explain your answer here:

Answer 1