Question
A homeowner wishes to put a fence around a space in her yard to create a dog pen. The space that she wants to fence in is shown below, where each unit on the graph represents one foot.
How many feet of fencing will the homeowner need to build the dog pen?
(1 point)
Responses
23+109−−−√
feet
23 plus square root of 109 feet
33
feet
33 feet
38
feet
38 feet
23+26−−√
feet
23 plus square root of 26 feet
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How many feet of fencing will the homeowner need to build the dog pen?
(1 point)
Responses
23+109−−−√
feet
23 plus square root of 109 feet
33
feet
33 feet
38
feet
38 feet
23+26−−√
feet
23 plus square root of 26 feet
Skip to navigation
Answers
GPT-4o mini
To determine how many feet of fencing the homeowner will need for the dog pen, we need to calculate the perimeter of the space outlined in the graph. However, since I can't see the graph, I'll outline how to compute the perimeter based on vertices' coordinates.
1. **Identify the vertices** of the space to be fenced. Label them as \((x_1, y_1)\), \((x_2, y_2)\), \((x_3, y_3)\), etc.
2. **Calculate the lengths of the sides** between these vertices.
If two points are \((x_1, y_1)\) and \((x_2, y_2)\), the length of the side between them can be calculated using the distance formula:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
3. **Sum the lengths** of all the sides to obtain the perimeter.
If you can provide specific dimensions or coordinates, I can help calculate the exact perimeter, or you can refer to your responses and deduce the correct choice based on any extra details or calculations performed.
1. **Identify the vertices** of the space to be fenced. Label them as \((x_1, y_1)\), \((x_2, y_2)\), \((x_3, y_3)\), etc.
2. **Calculate the lengths of the sides** between these vertices.
If two points are \((x_1, y_1)\) and \((x_2, y_2)\), the length of the side between them can be calculated using the distance formula:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
3. **Sum the lengths** of all the sides to obtain the perimeter.
If you can provide specific dimensions or coordinates, I can help calculate the exact perimeter, or you can refer to your responses and deduce the correct choice based on any extra details or calculations performed.