There are three walls in Jordan’s living room. The three walls, shown here, are 12 feet, 9 feet and 10 feet wide, respectively. Each wall has a height of 8 feet with a 6-inch baseboard along the bottom. The largest of the three walls contains a window that measures 5 feet by 6 feet. Jordan plans to paint the three walls of his living room by mixing together some paint he already has, which includes white #2, magenta #3, red #4, yellow #5 and green #6. Jordan has decided to paint two of the walls a pale goldenrod and the third wall will be painted burnt umber.



Suppose that 1 gallon of paint is used to cover 400 sq feet. Jordan plans to apply four coats of the goldenrod paint mixture to the 12-foot wall and the 9-foot wall leaving only the window and baseboard unpainted. How many gallons of the goldenrod paint mixture will he need? Express your answer as a decimal to the nearest hundredth.

I will ignore all the jibberish about paint colour names and simply use colour A for the large wall and colour B for the other walls

area of large wall = 12(7.5) - 5(6) = 60 square feet
area of other two walls = (9)(7.5) + 10(7.5) = 142.5 square feet

he will need 60/240 or .25 gallon of colour A for the large wall, which would be 1 quart
he will need 142.5/400 or .35625 gallons of colour B, so he needs 2 quarts of colour B

It seems silly to ask for accuracy to the nearest hundredth in the number of gallons needed.
Can you imagine walking into a paint store and asking for .356 of a gallon of paint?

what is the y-coordinate of the point of intersection of the graphs of x+2y=-6 and 2x+y=24?

To calculate the number of gallons of the goldenrod paint mixture Jordan will need, we need to find the total area of the two walls he plans to paint and then divide that by the coverage area of one gallon of paint.

First, let's calculate the area of each wall:

Wall 1 (12-foot wide):
Height: 8 feet
Width: 12 feet
Area = height * width = 8 feet * 12 feet = 96 square feet

Wall 2 (9-foot wide):
Height: 8 feet
Width: 9 feet
Area = height * width = 8 feet * 9 feet = 72 square feet

Next, since Jordan plans to apply four coats of paint, we need to multiply the area of each wall by 4:

Total area of Wall 1 = 96 square feet * 4 = 384 square feet
Total area of Wall 2 = 72 square feet * 4 = 288 square feet

Now, let's add up the total area of the two walls:

Total area = 384 square feet + 288 square feet = 672 square feet

Finally, we can divide the total area by the coverage area of one gallon of paint (400 square feet) to find how many gallons of paint Jordan will need:

Gallons of paint = Total area / Coverage area per gallon = 672 square feet / 400 square feet = 1.68 gallons

Therefore, Jordan will need approximately 1.68 gallons of the goldenrod paint mixture.