Question

One of your employees is bidding on a carpet installation job. They estimate that it will take 3 hours to install 12 square yards of carpeting in a room that measures 11' 6" by 12' 9" and that it will take 12.3 hours to install the carpet. After reviewing the calculations, is the bid correct? If not, what error was made?

Answer 1

Answer:

No, the bid is not correct.

Step-by-step explanation:

One of your employees is bidding on a carpet installation job.

They estimate that it will take 3 hours to install 12 square yards of carpeting.

we know that 1 square yard= 9 square foot.

12 square yard= 12×9 square foot=108 square foot

i.e. it takes 3 hours to carpet 108 square foot.

Hence time taken to carpet 1 square foot= $\dfrac{3}{108}$ hour

Now the dimension of room is:

11' 6"× 12' 9" i.e. we convert both the units to foot as:

1 foot= 12 inch

11'6"=11+(6/12)=11.5  foot.

and 12'9"=12+(9/12)=12.75 foot.

Hence, dimension of room=11.5 foot×12.75 foot

Hence area of room=11.5×12.75=146.625 square foot.

Time to carpet 146.625 square foot=

$\dfrac{3}{108}\times 146.625$ hour

=4.0729 hour

But it is given that it takes 12.3 hours to install the carpet.

Hence, the calculations were wrong.

Answer 2

Answer:

No, the bid is about 3 times too high. The square yards may have not been converted to square feet.

Step-by-step explanation: