You need to carpet a new office room. The new room is 12 feet by 15 feet 6 inches. A supplier delivered 20 square yards of carpet tiles.

Do you have enough tiles to do the job? How much more or less do you need?

Respuesta :

Area of the room = 12 * 15.5 = 186 square feet

This equals 186 / 9  = 20 2/3 square yards

So you have not got enough capet tiles  to do the job.

You need another 1 carpet tile to finiush the job.

Answer:

1 square yards more tiles are needed to complete the job.

Step-by-step explanation:

We have been given that the new new room is 12 feet by 15 feet 6 inches.  A supplier delivered 20 square yards of carpet tiles.

First of all, we will convert our given dimension into feet.

1 feet = 12 inches

[tex]\text{6 inches}=\frac{6}{12}\text{ feet}=0.5\text{ feet}[/tex]

Now, we will find the carpet area by multiplying the given dimensions.

[tex]\text{Area of floor}=\text{ 12 feet}\times \text{ 15.5 feet}[/tex]

[tex]\text{Area of floor}=186\text{ feet}^2[/tex]

Now, we will convert our area into square yards by multiplying our answer by 0.11111.

[tex]\text{Area of floor}=186\text{ feet}^2*0.11111\frac{\text{ yards}^2}{\text{ feet}^2}[/tex]

[tex]\text{Area of floor}=186\times 0.11111\text{ yards}^2[/tex]

[tex]\text{Area of floor}=20.66646\text{ yards}^2[/tex]

Therefore, we don't have enough tiles to do the job and we need 1 square yards of more tiles to do the job.

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