Question

b. suppose the 10 - pace wall and the 12 - pace wall both have windows that are 4 feet by 4 feet and that the 7 - pace wall has a door that is 3 feet by 6 feet. determine how much space is taken up by the windows and door.
c. estimate the surface area of the walls to be painted, subtracting the windows and the door.
d. if each gallon of paint (one can) covers approximately 300 square feet, estimate how many cans of paint ron and sarah should purchase to cover the room with two coats of paint.

Explanation:

Step1: Calculate area of windows

There are 2 windows, each with area $A_{window}=4\times4 = 16$ square - feet. So total window area $A_{windows - total}=2\times16=32$ square - feet.

Step2: Calculate area of door

The door has dimensions 3 feet by 6 feet, so its area $A_{door}=3\times6 = 18$ square - feet.

Step3: Calculate total area of windows and door (answer for part b)

The total area taken up by windows and door $A = A_{windows - total}+A_{door}=32 + 18=50$ square - feet.

Step4: Assume dimensions of walls (missing from problem, assume for illustration)

Let's assume the height of all walls is 8 feet. The 10 - pace wall has area $A_{10 - pace}=10\times8 = 80$ square - feet, the 12 - pace wall has area $A_{12 - pace}=12\times8 = 96$ square - feet, and the 7 - pace wall has area $A_{7 - pace}=7\times8 = 56$ square - feet. The total area of the walls $A_{walls - total}=80 + 96+56=232$ square - feet.

Step5: Calculate area to be painted (answer for part c)

Subtract the area of windows and door from the total wall area. $A_{to - be - painted}=A_{walls - total}-A=232 - 50 = 182$ square - feet.

Step6: Calculate area for two - coat painting

For two coats of paint, the total area to be covered $A_{total - for - paint}=2\times A_{to - be - painted}=2\times182 = 364$ square - feet.

Step7: Calculate number of paint cans (answer for part d)

Each can covers 300 square - feet. Number of cans $n=\frac{A_{total - for - paint}}{300}=\frac{364}{300}\approx1.21$. Since we can't buy a fraction of a can, we need 2 cans.

Answer:

b. 50 square feet
c. 182 square feet (assuming wall - height of 8 feet as an example)
d. 2 cans