Respuesta :
Answer:
B. 5 rolls
Step-by-step explanation:
The areas of the room, not including the ceiling, are discriminated as follows:
Longer walls: [tex](12.5\times8)\times2=200ft^2[/tex] (6 inches equals one foot)
Shorter walls: [tex](10.5\times8)\times2 = 168ft ^ 2[/tex] (6 inches equals one foot)
Window area: [tex](4\times3)\times2 = 24ft ^ 2[/tex]
Door area: [tex](7\times3) = 21ft ^ 2[/tex]
Area that will be effectively covered:
Total area to wallpaper: [tex]200 + 168 -24 -21 = 323ft ^ 2[/tex]
Amount of paper needed: [tex]323\times1.1 = 355.3ft ^ 2[/tex]
[tex]30in = 24in + 6in = 2ft + 0.5ft = 2.5ft.[/tex] That is, the area of a roll of paper is [tex]2.5\times30 = 75ft ^ 2[/tex]
Number of rolls needed:
[tex]\frac{355.3}{75} = 4.73[/tex] rolls
Answer:
Correct answer is B. 5Rolls
Step-by-step explanation:
- First you have to put all values in same unit of measurement,
- knowing that 1 foot=12 inches, we apply 3 rule:
12 inches is 1 feet
6 inches is 6/12 feet= 0,5 feet.
12 inches is 1 foot
30 inches is 30/12 feet=2,5feet.
2. Second,you have to calculate the total surface where you will wallpaper.
So you have to calculate the dimension of 2 different rectangles and substract the surfaces that you don't have to wallppaper (door and windows).
- Let's calculate the surface of the rectancles. Let's put all units in feets.
[tex]Area rectangle 1 =10.5feet*8feet=84ft^{2} \\Area rectangle2=12.5feet*8feet=100ft^{2}\\Total Area of walls=(Area rectangle 1 *2) + (Area rectangle2*2)\\Total Area of walls=(84ft^{2} *2)+(100ft^{2})\\\\Total Area of walls=368ft^{2}[/tex]
3. Now we have to calculate the area to substract from the total area, since you will not wallpaper the door and windows:
[tex]Windows=4feet*3feet*2=24ft^{2} \\Door=7feet*3feet=21ft^{2}[/tex]
4. Total area to wallpaper is Total surface of the room minus door and windows surface:
[tex]wallpaperArea=368ft^{2} -45ft^{2}\\wallpaperArea=323ft^{2}[/tex]
5. Now you have to add 10% waste to the calculated surface:
[tex]323ft^{2} +(323*0.10)=355.3ft^{2}[/tex]
6. So, you have the real area that will wallpaper considering 10% waste, it is 326.23 square feet. To calculate how many rolls you will need, you have to calculate the surface that each roll covers and then divide total surface by roll surface.
[tex]Roll surface=2,5feet*30feet=75feet^{2}[/tex]
[tex]Rolls needed=355.3ft^{2}/75ft^{2}=4.73[/tex]
7. As the number of rolls is not integer you have to round, then the answer is you will need 5 rolls of wallpaper.
