Question
John wants to fence his square yard, which has a side length of 20 meters. If the fencing costs $8 per meter, what is the total cost of fencing the yard?
$640
$1280
$400
$160
$640
$1280
$400
$160
Answers
GPT-4o mini
To find the total cost of fencing John's square yard, we first need to determine the perimeter of the yard.
The formula for the perimeter \( P \) of a square is:
\[
P = 4 \times \text{side length}
\]
Given that the side length of the yard is 20 meters:
\[
P = 4 \times 20 = 80 \text{ meters}
\]
Next, we calculate the total cost of the fencing using the cost per meter. The cost of fencing is $8 per meter. Therefore, the total cost \( C \) can be calculated as follows:
\[
C = \text{perimeter} \times \text{cost per meter} = 80 \text{ meters} \times 8 \text{ dollars/meter}
\]
\[
C = 640 \text{ dollars}
\]
So, the total cost of fencing the yard is **$640**.
The formula for the perimeter \( P \) of a square is:
\[
P = 4 \times \text{side length}
\]
Given that the side length of the yard is 20 meters:
\[
P = 4 \times 20 = 80 \text{ meters}
\]
Next, we calculate the total cost of the fencing using the cost per meter. The cost of fencing is $8 per meter. Therefore, the total cost \( C \) can be calculated as follows:
\[
C = \text{perimeter} \times \text{cost per meter} = 80 \text{ meters} \times 8 \text{ dollars/meter}
\]
\[
C = 640 \text{ dollars}
\]
So, the total cost of fencing the yard is **$640**.