Respuesta :
Answer: 2.00 cans
Explanation
Given
• 11 feet by 13 feet and has 8 foot ceilings.
,• One long wall and one short wall each has a window that measures 3 feet by 4 feet.
,• One short wall has two doors that measure 7 feet by 4 feet.
,• Each can of paint will cover 375 square feet.
Procedure
We have to get the area of a window and door.
• Calculating the area of a window ,(Aw)
[tex]A_w=3\times4=12ft^2[/tex]• Calculating the area of a door ,(Ad)
[tex]A_d=7\times4=28[/tex]Now, we have to calculate the area of each side and the roof (considering that she will not paint the floor).
• Calculating the total area of the large side ,(AL)
[tex]A_L=13\times8=104ft^2[/tex]• Calculating the total area of the small side ,(As)
[tex]A_s=11\times8=88ft^2[/tex]• Calculating the total area of the ceiling ,(Ac)
[tex]A_c=11\times13=143ft^2[/tex]Then, the total area would be the sum of the sides plus the ceiling. However, we have to subtract the doors and windows.
• Calculating the total area ,(AT)
[tex]A_T=A_L+A_L+A_s+A_s+A_c[/tex]Replacing the values by adding the subtraction of the windows.
[tex]A_T=104+(104-12)+88+(88-12)+143[/tex]Replacing the values by adding the subtraction of the doors.
[tex]A_T=104+(104-12)+(88-2\cdot28)+(88-12)+143[/tex]As she wants to paint two coats on the walls, we have to multiply each term of the walls times two:
[tex]A_T=2\cdot104+2\cdot(104-12)+2\cdot(88-2\times28)+2\cdot(88-12)+143[/tex]Simplifying:
[tex]A_T=2\cdot104+2\cdot92+2\cdot32+2\cdot76+143[/tex][tex]A_T=751ft^2[/tex]Finally, as each can of paint will cover 375 square feet, we have to divide this quantity:
[tex]A_T=\frac{751}{375}\approx2.00[/tex]