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 [tex]=(l)(w).[/tex]
The area of a square [tex]= a^{2} .[/tex]
The entire wall's area [tex]= (12)(8)= 96[/tex] square feet.
The door has a length of 3 feet and a width of 6 feet.
The area of the door [tex]=(3)(6)=18[/tex] 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 [tex]= 2^{2} =4[/tex] square feet.
The area of 2 windows [tex]= 2(4) = 8[/tex] square feet.
The area of the wall [tex]=96-18-8=70[/tex] 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 [tex]= \frac{70}{30} = 2.333[/tex] 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.
