Question

At the carpet store where you work, a customer wants to buy carpet for a room that is 16 1/2 feet by 18 1/2 feet in size. The carpet ,pad,and installation will cost $17.50 per square yard. To the nearest dollar,how much will it cost to carpet the room?

Answer 1

$593

Explanation:

We have been that a customer wants to buy carpet for a room that is 16 1/2 feet by 18 1/2 feet in size.

First of all, we will find area of carpet by multiplying both side lengths as:

`\text{Area of carpet}=16(1)/(2)\text{ ft}* 18(1)/(2)\text{ ft}`

Convert mixed fraction into improper fraction:

`16(1)/(2)\Rightarrow (16*2+1)/(2)=(32+1)/(2)=(33)/(2)`

`18(1)/(2)\Rightarrow (18*2+1)/(2)=(36+1)/(2)=(37)/(2)`

`\text{Area of carpet}=(33)/(2)\text{ ft}* (37)/(2)\text{ ft}`

`\text{Area of carpet}=(1221)/(4)\text{ ft}^2`

`\text{Area of carpet}=305.25\text{ ft}^2`

1 square feet equals 0.111 square yards.

`305.25\text{ ft}^2=305.25*0.1111\text{ yards}^2`

To find the cost to carpet the room, we will multiply area of carpet by cost $17.50 per square yards.

`305.25* 0.1111\text{ yards}^2*\frac{\$17.50}{\text{ yard}^2}`

`305.25* 0.1111*\$17.50`

`\$593.4823125\approx \$593`

Therefore, the cost to carpet the room would be $593.

Answer 2

Answer: 595 Dollars

Explanation:

16 1/2 times 18 1/2 = 305.25

one square yard = nine feet

305 devided by nine 33.9166667 (round to 34)

34 times 17.50 = 595