Question

A. The windows and door will not be painted. Calculate the area of the wall that will be painted

b. If a quart of Extra- thick exterior paint covers 30 Square feet, how many quarts must be purchased for the painting job? (SHOW WORK THANK YOU) (PICTURE IS ABOVE)

Answer 1

Given:

A rectangular wall with 2 windows and a 1 door.

To find:

The area of the wall and the amount of paint required to cover the wall.

Solution:

The area of the wall can be determined by subtracting the areas covered by the windows and the door from the area of the entire wall.

The entire wall has a length of 12 feet and a width of 8 feet.

The area of a rectangle
`=(l)(w).`

The area of a square
`= a^(2) .`

The entire wall's area
`= (12)(8)= 96` square feet.

The door has a length of 3 feet and a width of 6 feet.

The area of the door
`=(3)(6)=18` square feet.

The windows are in the shape of a square.

The side length of the windows is 2 feet.

The area of a window
`= 2^(2) =4` square feet.

The area of 2 windows
`= 2(4) = 8` square feet.

The area of the wall
`=96-18-8=70` square feet.

If a quart of extra-thick exterior paint covers 30 square feet, then 70 square feet will need;

The paint needed to cover 70 square feet
`= (70)/(30) = 2.333` quarts.

So the area of the wall was 70 square feet and 2.333 quarts of extra-thick exterior paint is required to cover the wall.