Respuesta :
Answer:
716 tiles needed.
Step-by-step explanation:
The parameters of a room given in the question are
Length = 10 feet
Width = 14 feet
Height = 12 feet
and Jamie wants to put the tiles on walls and the floor of his room.
Dimensions of each tile
Length = 1 feet
width = 1 feet
Surface area of walls and floor = 4 walls + floor = 4(Area of one wall) + area of floor
= 2(Length×height + width×height) + (length×width)
= 2(10×12 + 14×12) + (10×14) = 2(120+168) + 140 = 2×288 + 140 = 576 +140 = 716
Now total number of tiles required = Total area to be covered/area of one tile
Number of tiles = 716/1 = 716
Therefore 716 tiles needed by Jamie.
Answer:
716 tiles are required by Jamie.
Step-by-step explanation:
We are given the following information in the question:
Dimensions of room:
Length of room = 10 feet
Width of room = 14 feet
Height of room = 12 feet
Dimensions of tile:
Length = 1 feet
Width = 1 feet
Area of 1 tile =
[tex]\text{Length}\times \text{Width}\\= 1\times 1\\= 1 \text{ square feet}[/tex]
Area of room to be covered by tiles =
[tex]\text{Area of base} + \text{Area of 4 walls}\\= (\text{Length}\times \text{Breadth}) + 2\times \text{Height}\times (\text{Length + Breadth})\\=10\times 14 + (2\times 12\times (10 + 14))\\=140 + 576\\= 716\text{ square feet}[/tex]
Number of tiles required =
[tex]\displaystyle\frac{\text{Area t be covered}}{\text{Area of 1 tile}} = \frac{716}{1} = 716\text{ tiles}[/tex]
Thus, 716 tiles are required by Jamie.
