Question

oy's vegetable patch is 8 yards wide and 28 yards long. Joy wants to build a fence around the vegetable patch. The fencing material costs $2.47 per yard. How much would it cost in total to build the fence?

$

Answer 1

To find the total cost to build the fence around Joy's vegetable patch, we first need to calculate the perimeter of the patch.

The formula for the perimeter \( P \) of a rectangle is:

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

In this case, the length is 28 yards and the width is 8 yards. Plugging in these values:

\[
P = 2 \times (28 + 8)
\]
\[
P = 2 \times 36
\]
\[
P = 72 \text{ yards}
\]

Now that we have the perimeter, we multiply it by the cost per yard of fencing to find the total cost. The cost per yard is $2.47, so:

\[
\text{Total Cost} = P \times \text{Cost per yard}
\]
\[
\text{Total Cost} = 72 \times 2.47
\]

Calculating the total cost:

\[
\text{Total Cost} = 72 \times 2.47 = 178.44
\]

Therefore, the total cost to build the fence is **$178.44**.