The walls and ceiling in your bedroom need to bepainted, and the painters’ estimates to do the work are far tooexpensive. 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 ceilingis 9 ft. high.
• The color of paint you have selected for the walls covers 84square feet per gallon and costs $31.50 per gallon.
• The inside of the bedroom door is to be painted the same color asthe walls.
• The ceiling will be painted with a bright white ceiling paintthat costs $27.50 per gallon but only covers 73 sq. ft. pergallon.
• Two coats of paint will be applied to all painted surfaces.
• The room has one window, measuring 3 ft., 3 in. by 4 ft., whichwill not be painted.
1. Because different paint lots of the same color may appearslightly different in color, when painting a room, you should buyall of your paint at one time and intermix the paint from at leasttwo different cans so that the walls will all be exactly the samecolor. Because all ending values are given in feet, first find theroom dimensions in feet that make a good model for thissituation.
ANSWERS
LENGTH ft.
WIDTH ft.
HEIGHT ft.
Explain your answer here:
2. Using the measurements found above, label the sides in feethere:
3. Using the formula concepts and dimensions from above, find thebedroom’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 ofmeasurement, and round your final answers to the nearest wholemeasurement unit:
ANSWER
Total painted wall surface area
Explain your answer here:
4. Using the formula concepts and dimensions from above, find theceiling’s total painted surface area, including both coats.
Show all step-by-step calculations, including the units ofmeasurement, and round your final answers to the nearest wholemeasurement unit:
ANSWER
Total painted ceiling surface area
Explain your answer here:
5. Describe and discuss the strategy, steps, formulas, andprocedures for how you will use Polya’s problem-solving techniquesto determine how much it will cost to paint this bedroom with twocoats of paint (on all walls and the ceiling).
Explain your answer here:
6. Find, individually and as a total, how much it will cost topaint this bedroom with two coats of paint (on all walls and theceiling).
Show all step-by-step calculations, including the units ofmeasurement, and round your final answers to the nearest wholedollar 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 thework time needed to paint your bedroom?
Show all step-by-step calculations, including the units ofmeasurement, and round your final answers to the nearest whole houramount:
ANSWERS
Total painting time
Explain your answer here:
