Question

An acre of ground is equivalent to a square piece of land that is approximately 210 feet on each of the four equal sides. Fencing can be purchased in 50-foot rolls for $49 per roll. You are making a bid to install the fencing of a square plot of ground that is an acre at a cost of $1 per foot of fencing + the cost of materials. If the customer has bids of $1,700, $2,500, and $2,340 in addition to your bid, decide if your bid is the low bid for the job to determine if you will likely get the business.

Answer 1

Given that:

- An acre is equivalent to a square piece whose side length is:

`s=210ft`

- Fencing can be purchased in 50-foot rolls for $49 per roll.

Then, you can determine that the perimeter of the square piece is:

`P=4(210ft)=840ft`

Knowing that 50 feet of fencing cost $49, you can determine that the cost of 840 feet (in dollars) is (represented with the variable "x"):

`\begin{gathered} (49)/(50)=(x)/(840) \\ \\ (0.98)(840)=x \\ \\ x=823.2 \end{gathered}`

Now you know that the cost of materials is $823.2.

You are making a bid to install the fencing of a square plot of ground that is an acre at a cost of $1 per foot of fencing, then, the cost for the installation is:

`(840)(\text{ \$}1)=\text{ \$}840`

Therefore, your bid is:

`Bid=\text{ \$}823.2+\text{ \$}840=\text{ \$}1663.2`

Hence, the answer is: Your bid is the low bid for the job. You will likely get the business.