Question

Jake is enclosing a rectangular field that is 47 yards by 158 yards with wood fencing. The cost per foot of wood fencing is $3.28.



How much will the wood fencing cost?

Answer options with 4 options
A.
$672.40

B.
$1,344.80

C.
$2,017.20

D.
$4,034.40

Answer 1

To determine the cost of the wood fencing for enclosing the rectangular field, we first need to calculate the perimeter of the rectangle.

The perimeter \( P \) of a rectangle can be calculated using the formula:

\[
P = 2 \times (length + width)
\]

For the dimensions given:
- Length = 158 yards
- Width = 47 yards

Calculating the perimeter:

\[
P = 2 \times (158 + 47) = 2 \times 205 = 410 \text{ yards}
\]

Next, we convert the perimeter from yards to feet because the cost of the fencing is given in per foot. There are 3 feet in a yard, so:

\[
P = 410 \text{ yards} \times 3 \text{ feet/yard} = 1230 \text{ feet}
\]

Now, we calculate the total cost of the wood fencing by multiplying the total length of the fencing required by the cost per foot:

\[
\text{Cost} = \text{Length in feet} \times \text{Cost per foot}
\]

Substituting the values:

\[
\text{Cost} = 1230 \text{ feet} \times 3.28 \text{ dollars/foot} = 4034.40 \text{ dollars}
\]

Thus, the total cost of the wood fencing is:

\[
\text{Cost} = 4034.40
\]

So, the correct answer is:

**D. $4,034.40**