06.05.2022

If the dimensions of the door are 3 feet by 7 feet how many feet of caution tape will he need?

. 4

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Mathematics
Step-by-step answer
P Answered by Specialist

He will need 15.24 feet of caution tape.

Step-by-step explanation:

Since we have given that

Length of door = 3 feet

Width of door = 7 feet

So, Diagonal of door is given by

sqrt{3^2+7^2}\\\\=\sqrt{9+49}\\\\=\sqrt{58}\\\\=7.62\ feet

Since there are 2 diagonals of a rectangular door.

So, Length of caution tape he would need is given by

2\times 7.62\\\\=15.24\ feet

Hence, He will need 15.24 feet of caution tape.

Mathematics
Step-by-step answer
P Answered by Specialist

He will need 15.24 feet of caution tape.

Step-by-step explanation:

Since we have given that

Length of door = 3 feet

Width of door = 7 feet

So, Diagonal of door is given by

sqrt{3^2+7^2}\\\\=\sqrt{9+49}\\\\=\sqrt{58}\\\\=7.62\ feet

Since there are 2 diagonals of a rectangular door.

So, Length of caution tape he would need is given by

2\times 7.62\\\\=15.24\ feet

Hence, He will need 15.24 feet of caution tape.

Mathematics
Step-by-step answer
P Answered by Specialist

B. 5 rolls

Step-by-step explanation:

The areas of the room, not including the ceiling, are discriminated as follows:

Longer walls: (12.5\times8)\times2=200ft^2 (6 inches equals one foot)

Shorter walls: (10.5\times8)\times2 = 168ft ^ 2 (6 inches equals one foot)

Window area: (4\times3)\times2 = 24ft ^ 2

Door area: (7\times3) = 21ft ^ 2

Area that will be effectively covered:

Total area to wallpaper: 200 + 168 -24 -21 = 323ft ^ 2

Amount of paper needed: 323\times1.1 = 355.3ft ^ 2

30in = 24in + 6in = 2ft + 0.5ft = 2.5ft. That is, the area of a roll of paper is 2.5\times30 = 75ft ^ 2

Number of rolls needed:

\frac{355.3}{75} = 4.73 rolls

Mathematics
Step-by-step answer
P Answered by Specialist

B. 5 rolls

Step-by-step explanation:

The areas of the room, not including the ceiling, are discriminated as follows:

Longer walls: (12.5\times8)\times2=200ft^2 (6 inches equals one foot)

Shorter walls: (10.5\times8)\times2 = 168ft ^ 2 (6 inches equals one foot)

Window area: (4\times3)\times2 = 24ft ^ 2

Door area: (7\times3) = 21ft ^ 2

Area that will be effectively covered:

Total area to wallpaper: 200 + 168 -24 -21 = 323ft ^ 2

Amount of paper needed: 323\times1.1 = 355.3ft ^ 2

30in = 24in + 6in = 2ft + 0.5ft = 2.5ft. That is, the area of a roll of paper is 2.5\times30 = 75ft ^ 2

Number of rolls needed:

\frac{355.3}{75} = 4.73 rolls

Mathematics
Step-by-step answer
P Answered by PhD
The wall area is the product of the room perimeter and the room height:
   A₁ = (2*(12.5 ft + 10.5 ft))*(8.0 ft) = 368 ft²

The window and door area together is
   A₂ = 2*((4 ft)*(3 ft)) + (7 ft)*(3 ft) = 45 ft²

The area of one roll of wallpaper is
   A₃ = (2.5 ft)*(30 ft) = 75 ft²

Then the number of rolls of wallpaper required will be
   1.1*(A₁ - A₂)/A₃ ≈ 4.74

5 rolls of wallpaper should be purchased.


As a practical matter, not much of the window and door area can be saved. The rolls are 30 inches wide, but the openings are 36 inches wide. Some will likely have to be cut from two strips. The strips will have to be the full length of the wall, and the amount cut likely cannot be used elsewhere. If the window and door area cannot be salvaged, then likely ceiling(5.4) = 6 rolls will be needed (still allowing 10% for matching and waste).
Mathematics
Step-by-step answer
P Answered by PhD
First calculate how much wallpaper is needed:
add: 2 walls of 12.5 ft length x 8 ft high = 200 ft²
add: 2 walls of 10.5 ft length x 8 ft high = 168 ft²
subtract: 2 windows of 4 ft length x 3 ft high = 24 ft²
subtract: 1 door of 3 ft length x 7 ft high = 21 ft²
Wallpaper needed: 200 + 168 - 24 - 21 = 323 ft²
Add 10% for waste and matching: 323 + 323(10%) = 355.3 ft²

Next, calculate the amount of wallpaper in one roll:
0.5 ft wide x 30 ft length = 15 ft²

Lastly, calculate how many rolls are needed:
355.3 ÷ 15 = 23.7
Since you can only purchase an entire roll (and not a fraction of it),
round the answer up to the nearest whole roll.

Anser: 24 rolls of wallpaper should be purchased.
Mathematics
Step-by-step answer
P Answered by PhD
First calculate how much wallpaper is needed:
add: 2 walls of 12.5 ft length x 8 ft high = 200 ft²
add: 2 walls of 10.5 ft length x 8 ft high = 168 ft²
subtract: 2 windows of 4 ft length x 3 ft high = 24 ft²
subtract: 1 door of 3 ft length x 7 ft high = 21 ft²
Wallpaper needed: 200 + 168 - 24 - 21 = 323 ft²
Add 10% for waste and matching: 323 + 323(10%) = 355.3 ft²

Next, calculate the amount of wallpaper in one roll:
0.5 ft wide x 30 ft length = 15 ft²

Lastly, calculate how many rolls are needed:
355.3 ÷ 15 = 23.7
Since you can only purchase an entire roll (and not a fraction of it),
round the answer up to the nearest whole roll.

Anser: 24 rolls of wallpaper should be purchased.
Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

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